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Finding the Fourth Proportional to 2,257.47, 3,115.59 and 1,262.81

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Solution

The fourth proportional to 2,257.47, 3,115.59 and 1,262.81 is: 1,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.47 : 3,115.59 = 1,262.81 : x
  2. Step 2: Convert to fraction form
    2,257.47/3,115.59 = 1,262.81/x
  3. Step 3: Cross multiply
    2,257.47x = 3,115.59 × 1,262.81
  4. Step 4: Simplify right side
    2,257.47x = 3,934,382.63
  5. Step 5: Solve for x
    x = 3,934,382.63/2,257.47
  6. Step 6: Final answer
    x = 1,742.83

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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.