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Finding the Fourth Proportional to 3,171.96, 4,758.66 and 980.46

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Solution

The fourth proportional to 3,171.96, 4,758.66 and 980.46 is: 1,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.96 : 4,758.66 = 980.46 : x
  2. Step 2: Convert to fraction form
    3,171.96/4,758.66 = 980.46/x
  3. Step 3: Cross multiply
    3,171.96x = 4,758.66 × 980.46
  4. Step 4: Simplify right side
    3,171.96x = 4,665,675.78
  5. Step 5: Solve for x
    x = 4,665,675.78/3,171.96
  6. Step 6: Final answer
    x = 1,470.91

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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.