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Finding the Fourth Proportional to 2,257.13, 3,114.86 and 1,262.42

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Solution

The fourth proportional to 2,257.13, 3,114.86 and 1,262.42 is: 1,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.13 : 3,114.86 = 1,262.42 : x
  2. Step 2: Convert to fraction form
    2,257.13/3,114.86 = 1,262.42/x
  3. Step 3: Cross multiply
    2,257.13x = 3,114.86 × 1,262.42
  4. Step 4: Simplify right side
    2,257.13x = 3,932,251.36
  5. Step 5: Solve for x
    x = 3,932,251.36/2,257.13
  6. Step 6: Final answer
    x = 1,742.14

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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.