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Finding the Fourth Proportional to 2,475.42, 3,713.14 and 626.52

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Solution

The fourth proportional to 2,475.42, 3,713.14 and 626.52 is: 939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.42 : 3,713.14 = 626.52 : x
  2. Step 2: Convert to fraction form
    2,475.42/3,713.14 = 626.52/x
  3. Step 3: Cross multiply
    2,475.42x = 3,713.14 × 626.52
  4. Step 4: Simplify right side
    2,475.42x = 2,326,356.47
  5. Step 5: Solve for x
    x = 2,326,356.47/2,475.42
  6. Step 6: Final answer
    x = 939.78

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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.