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Finding the Fourth Proportional to 1,346.80, 2,019.82 and 372.66

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Solution

The fourth proportional to 1,346.80, 2,019.82 and 372.66 is: 558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.80 : 2,019.82 = 372.66 : x
  2. Step 2: Convert to fraction form
    1,346.80/2,019.82 = 372.66/x
  3. Step 3: Cross multiply
    1,346.80x = 2,019.82 × 372.66
  4. Step 4: Simplify right side
    1,346.80x = 752,706.12
  5. Step 5: Solve for x
    x = 752,706.12/1,346.80
  6. Step 6: Final answer
    x = 558.88

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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.