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Finding the Fourth Proportional to 2,321.29, 3,482.00 and 677.66

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Solution

The fourth proportional to 2,321.29, 3,482.00 and 677.66 is: 1,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.29 : 3,482.00 = 677.66 : x
  2. Step 2: Convert to fraction form
    2,321.29/3,482.00 = 677.66/x
  3. Step 3: Cross multiply
    2,321.29x = 3,482.00 × 677.66
  4. Step 4: Simplify right side
    2,321.29x = 2,359,608.73
  5. Step 5: Solve for x
    x = 2,359,608.73/2,321.29
  6. Step 6: Final answer
    x = 1,016.51

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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.