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Finding the Fourth Proportional to 2,257.49, 3,115.26 and 1,262.70

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Solution

The fourth proportional to 2,257.49, 3,115.26 and 1,262.70 is: 1,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.49 : 3,115.26 = 1,262.70 : x
  2. Step 2: Convert to fraction form
    2,257.49/3,115.26 = 1,262.70/x
  3. Step 3: Cross multiply
    2,257.49x = 3,115.26 × 1,262.70
  4. Step 4: Simplify right side
    2,257.49x = 3,933,638.80
  5. Step 5: Solve for x
    x = 3,933,638.80/2,257.49
  6. Step 6: Final answer
    x = 1,742.49

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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.