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Finding the Fourth Proportional to 2,257.14, 3,114.93 and 1,262.46

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Solution

The fourth proportional to 2,257.14, 3,114.93 and 1,262.46 is: 1,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.14 : 3,114.93 = 1,262.46 : x
  2. Step 2: Convert to fraction form
    2,257.14/3,114.93 = 1,262.46/x
  3. Step 3: Cross multiply
    2,257.14x = 3,114.93 × 1,262.46
  4. Step 4: Simplify right side
    2,257.14x = 3,932,474.53
  5. Step 5: Solve for x
    x = 3,932,474.53/2,257.14
  6. Step 6: Final answer
    x = 1,742.24

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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.