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Finding the Fourth Proportional to 1,519.36, 2,280.12 and 545.61

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Solution

The fourth proportional to 1,519.36, 2,280.12 and 545.61 is: 818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.36 : 2,280.12 = 545.61 : x
  2. Step 2: Convert to fraction form
    1,519.36/2,280.12 = 545.61/x
  3. Step 3: Cross multiply
    1,519.36x = 2,280.12 × 545.61
  4. Step 4: Simplify right side
    1,519.36x = 1,244,056.27
  5. Step 5: Solve for x
    x = 1,244,056.27/1,519.36
  6. Step 6: Final answer
    x = 818.80

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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.