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Finding the Fourth Proportional to 2,371.71, 3,557.66 and 640.38

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Solution

The fourth proportional to 2,371.71, 3,557.66 and 640.38 is: 960.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.71 : 3,557.66 = 640.38 : x
  2. Step 2: Convert to fraction form
    2,371.71/3,557.66 = 640.38/x
  3. Step 3: Cross multiply
    2,371.71x = 3,557.66 × 640.38
  4. Step 4: Simplify right side
    2,371.71x = 2,278,254.31
  5. Step 5: Solve for x
    x = 2,278,254.31/2,371.71
  6. Step 6: Final answer
    x = 960.60

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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.