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Finding the Fourth Proportional to 2,635.71, 3,637.28 and 1,456.78

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Solution

The fourth proportional to 2,635.71, 3,637.28 and 1,456.78 is: 2,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.71 : 3,637.28 = 1,456.78 : x
  2. Step 2: Convert to fraction form
    2,635.71/3,637.28 = 1,456.78/x
  3. Step 3: Cross multiply
    2,635.71x = 3,637.28 × 1,456.78
  4. Step 4: Simplify right side
    2,635.71x = 5,298,709.47
  5. Step 5: Solve for x
    x = 5,298,709.47/2,635.71
  6. Step 6: Final answer
    x = 2,010.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.