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Finding the Fourth Proportional to 2,371.46, 3,557.28 and 640.13

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Solution

The fourth proportional to 2,371.46, 3,557.28 and 640.13 is: 960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.46 : 3,557.28 = 640.13 : x
  2. Step 2: Convert to fraction form
    2,371.46/3,557.28 = 640.13/x
  3. Step 3: Cross multiply
    2,371.46x = 3,557.28 × 640.13
  4. Step 4: Simplify right side
    2,371.46x = 2,277,121.65
  5. Step 5: Solve for x
    x = 2,277,121.65/2,371.46
  6. Step 6: Final answer
    x = 960.22

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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.