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Finding the Fourth Proportional to 2,545.14, 3,817.71 and 1,007.22

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Solution

The fourth proportional to 2,545.14, 3,817.71 and 1,007.22 is: 1,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.14 : 3,817.71 = 1,007.22 : x
  2. Step 2: Convert to fraction form
    2,545.14/3,817.71 = 1,007.22/x
  3. Step 3: Cross multiply
    2,545.14x = 3,817.71 × 1,007.22
  4. Step 4: Simplify right side
    2,545.14x = 3,845,273.87
  5. Step 5: Solve for x
    x = 3,845,273.87/2,545.14
  6. Step 6: Final answer
    x = 1,510.83

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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.