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Finding the Fourth Proportional to 2,283.57, 3,425.37 and 640.13

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Solution

The fourth proportional to 2,283.57, 3,425.37 and 640.13 is: 960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.57 : 3,425.37 = 640.13 : x
  2. Step 2: Convert to fraction form
    2,283.57/3,425.37 = 640.13/x
  3. Step 3: Cross multiply
    2,283.57x = 3,425.37 × 640.13
  4. Step 4: Simplify right side
    2,283.57x = 2,192,664.97
  5. Step 5: Solve for x
    x = 2,192,664.97/2,283.57
  6. Step 6: Final answer
    x = 960.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.