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Finding the Fourth Proportional to 2,079.83, 2,870.25 and 1,195.92

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Solution

The fourth proportional to 2,079.83, 2,870.25 and 1,195.92 is: 1,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.83 : 2,870.25 = 1,195.92 : x
  2. Step 2: Convert to fraction form
    2,079.83/2,870.25 = 1,195.92/x
  3. Step 3: Cross multiply
    2,079.83x = 2,870.25 × 1,195.92
  4. Step 4: Simplify right side
    2,079.83x = 3,432,589.38
  5. Step 5: Solve for x
    x = 3,432,589.38/2,079.83
  6. Step 6: Final answer
    x = 1,650.42

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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.