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Finding the Fourth Proportional to 2,833.62, 3,910.40 and 1,591.62

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Solution

The fourth proportional to 2,833.62, 3,910.40 and 1,591.62 is: 2,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.62 : 3,910.40 = 1,591.62 : x
  2. Step 2: Convert to fraction form
    2,833.62/3,910.40 = 1,591.62/x
  3. Step 3: Cross multiply
    2,833.62x = 3,910.40 × 1,591.62
  4. Step 4: Simplify right side
    2,833.62x = 6,223,870.85
  5. Step 5: Solve for x
    x = 6,223,870.85/2,833.62
  6. Step 6: Final answer
    x = 2,196.44

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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.