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Finding the Fourth Proportional to 1,641.92, 2,461.49 and 763.97

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Solution

The fourth proportional to 1,641.92, 2,461.49 and 763.97 is: 1,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.92 : 2,461.49 = 763.97 : x
  2. Step 2: Convert to fraction form
    1,641.92/2,461.49 = 763.97/x
  3. Step 3: Cross multiply
    1,641.92x = 2,461.49 × 763.97
  4. Step 4: Simplify right side
    1,641.92x = 1,880,498.02
  5. Step 5: Solve for x
    x = 1,880,498.02/1,641.92
  6. Step 6: Final answer
    x = 1,145.31

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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.