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Finding the Fourth Proportional to 2,257.73, 3,115.56 and 1,262.81

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Solution

The fourth proportional to 2,257.73, 3,115.56 and 1,262.81 is: 1,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.73 : 3,115.56 = 1,262.81 : x
  2. Step 2: Convert to fraction form
    2,257.73/3,115.56 = 1,262.81/x
  3. Step 3: Cross multiply
    2,257.73x = 3,115.56 × 1,262.81
  4. Step 4: Simplify right side
    2,257.73x = 3,934,372.85
  5. Step 5: Solve for x
    x = 3,934,372.85/2,257.73
  6. Step 6: Final answer
    x = 1,742.62

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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.