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Finding the Fourth Proportional to 2,314.14, 3,472.59 and 927.78

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Solution

The fourth proportional to 2,314.14, 3,472.59 and 927.78 is: 1,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.14 : 3,472.59 = 927.78 : x
  2. Step 2: Convert to fraction form
    2,314.14/3,472.59 = 927.78/x
  3. Step 3: Cross multiply
    2,314.14x = 3,472.59 × 927.78
  4. Step 4: Simplify right side
    2,314.14x = 3,221,799.55
  5. Step 5: Solve for x
    x = 3,221,799.55/2,314.14
  6. Step 6: Final answer
    x = 1,392.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.