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Finding the Fourth Proportional to 3,171.54, 4,757.92 and 980.19

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Solution

The fourth proportional to 3,171.54, 4,757.92 and 980.19 is: 1,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.54 : 4,757.92 = 980.19 : x
  2. Step 2: Convert to fraction form
    3,171.54/4,757.92 = 980.19/x
  3. Step 3: Cross multiply
    3,171.54x = 4,757.92 × 980.19
  4. Step 4: Simplify right side
    3,171.54x = 4,663,665.60
  5. Step 5: Solve for x
    x = 4,663,665.60/3,171.54
  6. Step 6: Final answer
    x = 1,470.47

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1.5x scale

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.