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Finding the Fourth Proportional to 2,539.89, 3,809.43 and 980.61

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Solution

The fourth proportional to 2,539.89, 3,809.43 and 980.61 is: 1,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.89 : 3,809.43 = 980.61 : x
  2. Step 2: Convert to fraction form
    2,539.89/3,809.43 = 980.61/x
  3. Step 3: Cross multiply
    2,539.89x = 3,809.43 × 980.61
  4. Step 4: Simplify right side
    2,539.89x = 3,735,565.15
  5. Step 5: Solve for x
    x = 3,735,565.15/2,539.89
  6. Step 6: Final answer
    x = 1,470.76

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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.