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Finding the Fourth Proportional to 3,133.60, 4,700.40 and 825.10

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Solution

The fourth proportional to 3,133.60, 4,700.40 and 825.10 is: 1,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.60 : 4,700.40 = 825.10 : x
  2. Step 2: Convert to fraction form
    3,133.60/4,700.40 = 825.10/x
  3. Step 3: Cross multiply
    3,133.60x = 4,700.40 × 825.10
  4. Step 4: Simplify right side
    3,133.60x = 3,878,300.04
  5. Step 5: Solve for x
    x = 3,878,300.04/3,133.60
  6. Step 6: Final answer
    x = 1,237.65

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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.