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Finding the Fourth Proportional to 1,519.78, 2,280.66 and 545.80

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Solution

The fourth proportional to 1,519.78, 2,280.66 and 545.80 is: 819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.78 : 2,280.66 = 545.80 : x
  2. Step 2: Convert to fraction form
    1,519.78/2,280.66 = 545.80/x
  3. Step 3: Cross multiply
    1,519.78x = 2,280.66 × 545.80
  4. Step 4: Simplify right side
    1,519.78x = 1,244,784.23
  5. Step 5: Solve for x
    x = 1,244,784.23/1,519.78
  6. Step 6: Final answer
    x = 819.06

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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.