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Finding the Fourth Proportional to 2,079.08, 2,869.22 and 1,195.17

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Solution

The fourth proportional to 2,079.08, 2,869.22 and 1,195.17 is: 1,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.08 : 2,869.22 = 1,195.17 : x
  2. Step 2: Convert to fraction form
    2,079.08/2,869.22 = 1,195.17/x
  3. Step 3: Cross multiply
    2,079.08x = 2,869.22 × 1,195.17
  4. Step 4: Simplify right side
    2,079.08x = 3,429,205.67
  5. Step 5: Solve for x
    x = 3,429,205.67/2,079.08
  6. Step 6: Final answer
    x = 1,649.39

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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.