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Finding the Fourth Proportional to 2,257.53, 3,115.44 and 1,262.94

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Solution

The fourth proportional to 2,257.53, 3,115.44 and 1,262.94 is: 1,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.53 : 3,115.44 = 1,262.94 : x
  2. Step 2: Convert to fraction form
    2,257.53/3,115.44 = 1,262.94/x
  3. Step 3: Cross multiply
    2,257.53x = 3,115.44 × 1,262.94
  4. Step 4: Simplify right side
    2,257.53x = 3,934,613.79
  5. Step 5: Solve for x
    x = 3,934,613.79/2,257.53
  6. Step 6: Final answer
    x = 1,742.88

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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.