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Finding the Fourth Proportional to 1,641.96, 2,463.12 and 546.48

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Solution

The fourth proportional to 1,641.96, 2,463.12 and 546.48 is: 819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.96 : 2,463.12 = 546.48 : x
  2. Step 2: Convert to fraction form
    1,641.96/2,463.12 = 546.48/x
  3. Step 3: Cross multiply
    1,641.96x = 2,463.12 × 546.48
  4. Step 4: Simplify right side
    1,641.96x = 1,346,045.82
  5. Step 5: Solve for x
    x = 1,346,045.82/1,641.96
  6. Step 6: Final answer
    x = 819.78

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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.