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Finding the Fourth Proportional to 2,833.56, 3,910.20 and 1,591.56

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Solution

The fourth proportional to 2,833.56, 3,910.20 and 1,591.56 is: 2,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.56 : 3,910.20 = 1,591.56 : x
  2. Step 2: Convert to fraction form
    2,833.56/3,910.20 = 1,591.56/x
  3. Step 3: Cross multiply
    2,833.56x = 3,910.20 × 1,591.56
  4. Step 4: Simplify right side
    2,833.56x = 6,223,317.91
  5. Step 5: Solve for x
    x = 6,223,317.91/2,833.56
  6. Step 6: Final answer
    x = 2,196.29

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1.5x scale

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.