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Finding the Fourth Proportional to 2,283.48, 3,425.16 and 640.14

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Solution

The fourth proportional to 2,283.48, 3,425.16 and 640.14 is: 960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.48 : 3,425.16 = 640.14 : x
  2. Step 2: Convert to fraction form
    2,283.48/3,425.16 = 640.14/x
  3. Step 3: Cross multiply
    2,283.48x = 3,425.16 × 640.14
  4. Step 4: Simplify right side
    2,283.48x = 2,192,581.92
  5. Step 5: Solve for x
    x = 2,192,581.92/2,283.48
  6. Step 6: Final answer
    x = 960.19

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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.