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Finding the Fourth Proportional to 1,539, 2,306.46 and 1,105.24

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Solution

The fourth proportional to 1,539, 2,306.46 and 1,105.24 is: 1,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539 : 2,306.46 = 1,105.24 : x
  2. Step 2: Convert to fraction form
    1,539/2,306.46 = 1,105.24/x
  3. Step 3: Cross multiply
    1,539x = 2,306.46 × 1,105.24
  4. Step 4: Simplify right side
    1,539x = 2,549,191.85
  5. Step 5: Solve for x
    x = 2,549,191.85/1,539
  6. Step 6: Final answer
    x = 1,656.39

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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.