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Finding the Fourth Proportional to 1,616.92, 2,424.48 and 642.76

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Solution

The fourth proportional to 1,616.92, 2,424.48 and 642.76 is: 963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.92 : 2,424.48 = 642.76 : x
  2. Step 2: Convert to fraction form
    1,616.92/2,424.48 = 642.76/x
  3. Step 3: Cross multiply
    1,616.92x = 2,424.48 × 642.76
  4. Step 4: Simplify right side
    1,616.92x = 1,558,358.76
  5. Step 5: Solve for x
    x = 1,558,358.76/1,616.92
  6. Step 6: Final answer
    x = 963.78

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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.