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Finding the Fourth Proportional to 2,602.71, 3,906.35 and 1,371.02

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Solution

The fourth proportional to 2,602.71, 3,906.35 and 1,371.02 is: 2,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.71 : 3,906.35 = 1,371.02 : x
  2. Step 2: Convert to fraction form
    2,602.71/3,906.35 = 1,371.02/x
  3. Step 3: Cross multiply
    2,602.71x = 3,906.35 × 1,371.02
  4. Step 4: Simplify right side
    2,602.71x = 5,355,657.59
  5. Step 5: Solve for x
    x = 5,355,657.59/2,602.71
  6. Step 6: Final answer
    x = 2,057.72

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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.