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Finding the Fourth Proportional to 2,439.89, 3,660.53 and 980.07

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Solution

The fourth proportional to 2,439.89, 3,660.53 and 980.07 is: 1,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.89 : 3,660.53 = 980.07 : x
  2. Step 2: Convert to fraction form
    2,439.89/3,660.53 = 980.07/x
  3. Step 3: Cross multiply
    2,439.89x = 3,660.53 × 980.07
  4. Step 4: Simplify right side
    2,439.89x = 3,587,557.01
  5. Step 5: Solve for x
    x = 3,587,557.01/2,439.89
  6. Step 6: Final answer
    x = 1,470.38

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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.