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Finding the Fourth Proportional to 2,545.88, 3,821.40 and 1,314.17

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Solution

The fourth proportional to 2,545.88, 3,821.40 and 1,314.17 is: 1,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.88 : 3,821.40 = 1,314.17 : x
  2. Step 2: Convert to fraction form
    2,545.88/3,821.40 = 1,314.17/x
  3. Step 3: Cross multiply
    2,545.88x = 3,821.40 × 1,314.17
  4. Step 4: Simplify right side
    2,545.88x = 5,021,989.65
  5. Step 5: Solve for x
    x = 5,021,989.65/2,545.88
  6. Step 6: Final answer
    x = 1,972.59

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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.