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Finding the Fourth Proportional to 2,471.31, 3,706.97 and 991.20

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Solution

The fourth proportional to 2,471.31, 3,706.97 and 991.20 is: 1,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.31 : 3,706.97 = 991.20 : x
  2. Step 2: Convert to fraction form
    2,471.31/3,706.97 = 991.20/x
  3. Step 3: Cross multiply
    2,471.31x = 3,706.97 × 991.20
  4. Step 4: Simplify right side
    2,471.31x = 3,674,357.61
  5. Step 5: Solve for x
    x = 3,674,357.61/2,471.31
  6. Step 6: Final answer
    x = 1,486.81

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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.