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Finding the Fourth Proportional to 2,545.73, 3,817.45 and 984.53

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Solution

The fourth proportional to 2,545.73, 3,817.45 and 984.53 is: 1,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.73 : 3,817.45 = 984.53 : x
  2. Step 2: Convert to fraction form
    2,545.73/3,817.45 = 984.53/x
  3. Step 3: Cross multiply
    2,545.73x = 3,817.45 × 984.53
  4. Step 4: Simplify right side
    2,545.73x = 3,758,396.86
  5. Step 5: Solve for x
    x = 3,758,396.86/2,545.73
  6. Step 6: Final answer
    x = 1,476.35

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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.