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Finding the Fourth Proportional to 2,000.60, 3,000.52 and 847.16

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Solution

The fourth proportional to 2,000.60, 3,000.52 and 847.16 is: 1,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.60 : 3,000.52 = 847.16 : x
  2. Step 2: Convert to fraction form
    2,000.60/3,000.52 = 847.16/x
  3. Step 3: Cross multiply
    2,000.60x = 3,000.52 × 847.16
  4. Step 4: Simplify right side
    2,000.60x = 2,541,920.52
  5. Step 5: Solve for x
    x = 2,541,920.52/2,000.60
  6. Step 6: Final answer
    x = 1,270.58

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.