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Finding the Fourth Proportional to 2,808.13, 3,874.89 and 1,799.38

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Solution

The fourth proportional to 2,808.13, 3,874.89 and 1,799.38 is: 2,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.13 : 3,874.89 = 1,799.38 : x
  2. Step 2: Convert to fraction form
    2,808.13/3,874.89 = 1,799.38/x
  3. Step 3: Cross multiply
    2,808.13x = 3,874.89 × 1,799.38
  4. Step 4: Simplify right side
    2,808.13x = 6,972,380.19
  5. Step 5: Solve for x
    x = 6,972,380.19/2,808.13
  6. Step 6: Final answer
    x = 2,482.93

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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.