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Finding the Fourth Proportional to 2,099.23, 3,148.85 and 560.23

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Solution

The fourth proportional to 2,099.23, 3,148.85 and 560.23 is: 840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.23 : 3,148.85 = 560.23 : x
  2. Step 2: Convert to fraction form
    2,099.23/3,148.85 = 560.23/x
  3. Step 3: Cross multiply
    2,099.23x = 3,148.85 × 560.23
  4. Step 4: Simplify right side
    2,099.23x = 1,764,080.24
  5. Step 5: Solve for x
    x = 1,764,080.24/2,099.23
  6. Step 6: Final answer
    x = 840.35

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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.