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Finding the Fourth Proportional to 1,932.42, 2,900.17 and 1,314.25

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Solution

The fourth proportional to 1,932.42, 2,900.17 and 1,314.25 is: 1,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.42 : 2,900.17 = 1,314.25 : x
  2. Step 2: Convert to fraction form
    1,932.42/2,900.17 = 1,314.25/x
  3. Step 3: Cross multiply
    1,932.42x = 2,900.17 × 1,314.25
  4. Step 4: Simplify right side
    1,932.42x = 3,811,545.43
  5. Step 5: Solve for x
    x = 3,811,545.43/1,932.42
  6. Step 6: Final answer
    x = 1,972.42

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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.