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Finding the Fourth Proportional to 2,451.71, 3,677.76 and 1,471.21

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Solution

The fourth proportional to 2,451.71, 3,677.76 and 1,471.21 is: 2,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.71 : 3,677.76 = 1,471.21 : x
  2. Step 2: Convert to fraction form
    2,451.71/3,677.76 = 1,471.21/x
  3. Step 3: Cross multiply
    2,451.71x = 3,677.76 × 1,471.21
  4. Step 4: Simplify right side
    2,451.71x = 5,410,731.54
  5. Step 5: Solve for x
    x = 5,410,731.54/2,451.71
  6. Step 6: Final answer
    x = 2,206.92

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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.