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Finding the Fourth Proportional to 2,862.38, 3,949.08 and 1,799.66

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Solution

The fourth proportional to 2,862.38, 3,949.08 and 1,799.66 is: 2,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.38 : 3,949.08 = 1,799.66 : x
  2. Step 2: Convert to fraction form
    2,862.38/3,949.08 = 1,799.66/x
  3. Step 3: Cross multiply
    2,862.38x = 3,949.08 × 1,799.66
  4. Step 4: Simplify right side
    2,862.38x = 7,107,001.31
  5. Step 5: Solve for x
    x = 7,107,001.31/2,862.38
  6. Step 6: Final answer
    x = 2,482.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.