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Finding the Fourth Proportional to 1,471.80, 2,208.92 and 1,318.71

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Solution

The fourth proportional to 1,471.80, 2,208.92 and 1,318.71 is: 1,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.80 : 2,208.92 = 1,318.71 : x
  2. Step 2: Convert to fraction form
    1,471.80/2,208.92 = 1,318.71/x
  3. Step 3: Cross multiply
    1,471.80x = 2,208.92 × 1,318.71
  4. Step 4: Simplify right side
    1,471.80x = 2,912,918.30
  5. Step 5: Solve for x
    x = 2,912,918.30/1,471.80
  6. Step 6: Final answer
    x = 1,979.15

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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.