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Finding the Fourth Proportional to 2,439.86, 3,660.47 and 980.04

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Solution

The fourth proportional to 2,439.86, 3,660.47 and 980.04 is: 1,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.86 : 3,660.47 = 980.04 : x
  2. Step 2: Convert to fraction form
    2,439.86/3,660.47 = 980.04/x
  3. Step 3: Cross multiply
    2,439.86x = 3,660.47 × 980.04
  4. Step 4: Simplify right side
    2,439.86x = 3,587,388.72
  5. Step 5: Solve for x
    x = 3,587,388.72/2,439.86
  6. Step 6: Final answer
    x = 1,470.33

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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.