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Finding the Fourth Proportional to 2,424.13, 3,344.79 and 1,539.61

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Solution

The fourth proportional to 2,424.13, 3,344.79 and 1,539.61 is: 2,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.13 : 3,344.79 = 1,539.61 : x
  2. Step 2: Convert to fraction form
    2,424.13/3,344.79 = 1,539.61/x
  3. Step 3: Cross multiply
    2,424.13x = 3,344.79 × 1,539.61
  4. Step 4: Simplify right side
    2,424.13x = 5,149,669.54
  5. Step 5: Solve for x
    x = 5,149,669.54/2,424.13
  6. Step 6: Final answer
    x = 2,124.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.