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Finding the Fourth Proportional to 2,471.76, 3,691.56 and 2,140.20

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Solution

The fourth proportional to 2,471.76, 3,691.56 and 2,140.20 is: 3,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.76 : 3,691.56 = 2,140.20 : x
  2. Step 2: Convert to fraction form
    2,471.76/3,691.56 = 2,140.20/x
  3. Step 3: Cross multiply
    2,471.76x = 3,691.56 × 2,140.20
  4. Step 4: Simplify right side
    2,471.76x = 7,900,676.71
  5. Step 5: Solve for x
    x = 7,900,676.71/2,471.76
  6. Step 6: Final answer
    x = 3,196.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.