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Finding the Fourth Proportional to 2,257.71, 3,387.02 and 1,026.38

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Solution

The fourth proportional to 2,257.71, 3,387.02 and 1,026.38 is: 1,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.71 : 3,387.02 = 1,026.38 : x
  2. Step 2: Convert to fraction form
    2,257.71/3,387.02 = 1,026.38/x
  3. Step 3: Cross multiply
    2,257.71x = 3,387.02 × 1,026.38
  4. Step 4: Simplify right side
    2,257.71x = 3,476,369.59
  5. Step 5: Solve for x
    x = 3,476,369.59/2,257.71
  6. Step 6: Final answer
    x = 1,539.78

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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.