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Finding the Fourth Proportional to 2,833.82, 3,910.64 and 1,591.82

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Solution

The fourth proportional to 2,833.82, 3,910.64 and 1,591.82 is: 2,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.82 : 3,910.64 = 1,591.82 : x
  2. Step 2: Convert to fraction form
    2,833.82/3,910.64 = 1,591.82/x
  3. Step 3: Cross multiply
    2,833.82x = 3,910.64 × 1,591.82
  4. Step 4: Simplify right side
    2,833.82x = 6,225,034.96
  5. Step 5: Solve for x
    x = 6,225,034.96/2,833.82
  6. Step 6: Final answer
    x = 2,196.69

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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.