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Finding the Fourth Proportional to 2,084.12, 3,125.94 and 545.24

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Solution

The fourth proportional to 2,084.12, 3,125.94 and 545.24 is: 817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.12 : 3,125.94 = 545.24 : x
  2. Step 2: Convert to fraction form
    2,084.12/3,125.94 = 545.24/x
  3. Step 3: Cross multiply
    2,084.12x = 3,125.94 × 545.24
  4. Step 4: Simplify right side
    2,084.12x = 1,704,387.53
  5. Step 5: Solve for x
    x = 1,704,387.53/2,084.12
  6. Step 6: Final answer
    x = 817.80

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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.