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Finding the Fourth Proportional to 3,171.23, 4,757.51 and 979.91

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Solution

The fourth proportional to 3,171.23, 4,757.51 and 979.91 is: 1,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.23 : 4,757.51 = 979.91 : x
  2. Step 2: Convert to fraction form
    3,171.23/4,757.51 = 979.91/x
  3. Step 3: Cross multiply
    3,171.23x = 4,757.51 × 979.91
  4. Step 4: Simplify right side
    3,171.23x = 4,661,931.62
  5. Step 5: Solve for x
    x = 4,661,931.62/3,171.23
  6. Step 6: Final answer
    x = 1,470.07

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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.