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Finding the Fourth Proportional to 1,642.54, 2,462.88 and 546.61

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Solution

The fourth proportional to 1,642.54, 2,462.88 and 546.61 is: 819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.54 : 2,462.88 = 546.61 : x
  2. Step 2: Convert to fraction form
    1,642.54/2,462.88 = 546.61/x
  3. Step 3: Cross multiply
    1,642.54x = 2,462.88 × 546.61
  4. Step 4: Simplify right side
    1,642.54x = 1,346,234.84
  5. Step 5: Solve for x
    x = 1,346,234.84/1,642.54
  6. Step 6: Final answer
    x = 819.61

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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.