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Finding the Fourth Proportional to 2,264.90, 3,397.71 and 1,032.74

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Solution

The fourth proportional to 2,264.90, 3,397.71 and 1,032.74 is: 1,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.90 : 3,397.71 = 1,032.74 : x
  2. Step 2: Convert to fraction form
    2,264.90/3,397.71 = 1,032.74/x
  3. Step 3: Cross multiply
    2,264.90x = 3,397.71 × 1,032.74
  4. Step 4: Simplify right side
    2,264.90x = 3,508,951.03
  5. Step 5: Solve for x
    x = 3,508,951.03/2,264.90
  6. Step 6: Final answer
    x = 1,549.27

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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.