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Finding the Fourth Proportional to 1,680.28, 2,520.36 and 640.24

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Solution

The fourth proportional to 1,680.28, 2,520.36 and 640.24 is: 960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.28 : 2,520.36 = 640.24 : x
  2. Step 2: Convert to fraction form
    1,680.28/2,520.36 = 640.24/x
  3. Step 3: Cross multiply
    1,680.28x = 2,520.36 × 640.24
  4. Step 4: Simplify right side
    1,680.28x = 1,613,641.98
  5. Step 5: Solve for x
    x = 1,613,641.98/1,680.28
  6. Step 6: Final answer
    x = 960.34

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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.