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Finding the Fourth Proportional to 3,171.52, 4,757.76 and 980.04

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Solution

The fourth proportional to 3,171.52, 4,757.76 and 980.04 is: 1,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.52 : 4,757.76 = 980.04 : x
  2. Step 2: Convert to fraction form
    3,171.52/4,757.76 = 980.04/x
  3. Step 3: Cross multiply
    3,171.52x = 4,757.76 × 980.04
  4. Step 4: Simplify right side
    3,171.52x = 4,662,795.11
  5. Step 5: Solve for x
    x = 4,662,795.11/3,171.52
  6. Step 6: Final answer
    x = 1,470.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.