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Finding the Fourth Proportional to 1,579.47, 2,369.37 and 539.61

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Solution

The fourth proportional to 1,579.47, 2,369.37 and 539.61 is: 809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.47 : 2,369.37 = 539.61 : x
  2. Step 2: Convert to fraction form
    1,579.47/2,369.37 = 539.61/x
  3. Step 3: Cross multiply
    1,579.47x = 2,369.37 × 539.61
  4. Step 4: Simplify right side
    1,579.47x = 1,278,535.75
  5. Step 5: Solve for x
    x = 1,278,535.75/1,579.47
  6. Step 6: Final answer
    x = 809.47

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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.