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Finding the Fourth Proportional to 2,538.78, 3,809.79 and 980.04

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Solution

The fourth proportional to 2,538.78, 3,809.79 and 980.04 is: 1,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.78 : 3,809.79 = 980.04 : x
  2. Step 2: Convert to fraction form
    2,538.78/3,809.79 = 980.04/x
  3. Step 3: Cross multiply
    2,538.78x = 3,809.79 × 980.04
  4. Step 4: Simplify right side
    2,538.78x = 3,733,746.59
  5. Step 5: Solve for x
    x = 3,733,746.59/2,538.78
  6. Step 6: Final answer
    x = 1,470.69

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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.