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Finding the Fourth Proportional to 2,257.59, 3,115.49 and 1,262.91

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Solution

The fourth proportional to 2,257.59, 3,115.49 and 1,262.91 is: 1,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.59 : 3,115.49 = 1,262.91 : x
  2. Step 2: Convert to fraction form
    2,257.59/3,115.49 = 1,262.91/x
  3. Step 3: Cross multiply
    2,257.59x = 3,115.49 × 1,262.91
  4. Step 4: Simplify right side
    2,257.59x = 3,934,583.48
  5. Step 5: Solve for x
    x = 3,934,583.48/2,257.59
  6. Step 6: Final answer
    x = 1,742.82

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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.