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Finding the Fourth Proportional to 2,475.32, 3,713.58 and 743.94

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Solution

The fourth proportional to 2,475.32, 3,713.58 and 743.94 is: 1,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.32 : 3,713.58 = 743.94 : x
  2. Step 2: Convert to fraction form
    2,475.32/3,713.58 = 743.94/x
  3. Step 3: Cross multiply
    2,475.32x = 3,713.58 × 743.94
  4. Step 4: Simplify right side
    2,475.32x = 2,762,680.71
  5. Step 5: Solve for x
    x = 2,762,680.71/2,475.32
  6. Step 6: Final answer
    x = 1,116.09

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