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Finding the Fourth Proportional to 2,257.66, 3,115.38 and 1,262.92

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Solution

The fourth proportional to 2,257.66, 3,115.38 and 1,262.92 is: 1,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.66 : 3,115.38 = 1,262.92 : x
  2. Step 2: Convert to fraction form
    2,257.66/3,115.38 = 1,262.92/x
  3. Step 3: Cross multiply
    2,257.66x = 3,115.38 × 1,262.92
  4. Step 4: Simplify right side
    2,257.66x = 3,934,475.71
  5. Step 5: Solve for x
    x = 3,934,475.71/2,257.66
  6. Step 6: Final answer
    x = 1,742.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.