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Finding the Fourth Proportional to 2,642.78, 3,963.86 and 695.13

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Solution

The fourth proportional to 2,642.78, 3,963.86 and 695.13 is: 1,042.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.78 : 3,963.86 = 695.13 : x
  2. Step 2: Convert to fraction form
    2,642.78/3,963.86 = 695.13/x
  3. Step 3: Cross multiply
    2,642.78x = 3,963.86 × 695.13
  4. Step 4: Simplify right side
    2,642.78x = 2,755,406.52
  5. Step 5: Solve for x
    x = 2,755,406.52/2,642.78
  6. Step 6: Final answer
    x = 1,042.62

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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.