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Finding the Fourth Proportional to 1,641.50, 2,462.62 and 546.66

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Solution

The fourth proportional to 1,641.50, 2,462.62 and 546.66 is: 820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.50 : 2,462.62 = 546.66 : x
  2. Step 2: Convert to fraction form
    1,641.50/2,462.62 = 546.66/x
  3. Step 3: Cross multiply
    1,641.50x = 2,462.62 × 546.66
  4. Step 4: Simplify right side
    1,641.50x = 1,346,215.85
  5. Step 5: Solve for x
    x = 1,346,215.85/1,641.50
  6. Step 6: Final answer
    x = 820.11

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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.