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Finding the Fourth Proportional to 2,283.88, 3,425.76 and 640.52

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Solution

The fourth proportional to 2,283.88, 3,425.76 and 640.52 is: 960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.88 : 3,425.76 = 640.52 : x
  2. Step 2: Convert to fraction form
    2,283.88/3,425.76 = 640.52/x
  3. Step 3: Cross multiply
    2,283.88x = 3,425.76 × 640.52
  4. Step 4: Simplify right side
    2,283.88x = 2,194,267.80
  5. Step 5: Solve for x
    x = 2,194,267.80/2,283.88
  6. Step 6: Final answer
    x = 960.76

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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.