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Finding the Fourth Proportional to 2,392.48, 3,589.80 and 1,221.76

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Solution

The fourth proportional to 2,392.48, 3,589.80 and 1,221.76 is: 1,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.48 : 3,589.80 = 1,221.76 : x
  2. Step 2: Convert to fraction form
    2,392.48/3,589.80 = 1,221.76/x
  3. Step 3: Cross multiply
    2,392.48x = 3,589.80 × 1,221.76
  4. Step 4: Simplify right side
    2,392.48x = 4,385,874.05
  5. Step 5: Solve for x
    x = 4,385,874.05/2,392.48
  6. Step 6: Final answer
    x = 1,833.19

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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.