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Finding the Fourth Proportional to 2,867.92, 3,957.77 and 1,591.76

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Solution

The fourth proportional to 2,867.92, 3,957.77 and 1,591.76 is: 2,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.92 : 3,957.77 = 1,591.76 : x
  2. Step 2: Convert to fraction form
    2,867.92/3,957.77 = 1,591.76/x
  3. Step 3: Cross multiply
    2,867.92x = 3,957.77 × 1,591.76
  4. Step 4: Simplify right side
    2,867.92x = 6,299,840.79
  5. Step 5: Solve for x
    x = 6,299,840.79/2,867.92
  6. Step 6: Final answer
    x = 2,196.66

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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.