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Finding the Fourth Proportional to 1,519.23, 2,279 and 545.11

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Solution

The fourth proportional to 1,519.23, 2,279 and 545.11 is: 817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.23 : 2,279 = 545.11 : x
  2. Step 2: Convert to fraction form
    1,519.23/2,279 = 545.11/x
  3. Step 3: Cross multiply
    1,519.23x = 2,279 × 545.11
  4. Step 4: Simplify right side
    1,519.23x = 1,242,305.69
  5. Step 5: Solve for x
    x = 1,242,305.69/1,519.23
  6. Step 6: Final answer
    x = 817.72

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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.