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Finding the Fourth Proportional to 2,367.80, 3,266.97 and 1,471.13

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Solution

The fourth proportional to 2,367.80, 3,266.97 and 1,471.13 is: 2,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.80 : 3,266.97 = 1,471.13 : x
  2. Step 2: Convert to fraction form
    2,367.80/3,266.97 = 1,471.13/x
  3. Step 3: Cross multiply
    2,367.80x = 3,266.97 × 1,471.13
  4. Step 4: Simplify right side
    2,367.80x = 4,806,121.24
  5. Step 5: Solve for x
    x = 4,806,121.24/2,367.80
  6. Step 6: Final answer
    x = 2,029.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.