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Finding the Fourth Proportional to 2,867.76, 3,957.32 and 1,591.56

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Solution

The fourth proportional to 2,867.76, 3,957.32 and 1,591.56 is: 2,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.76 : 3,957.32 = 1,591.56 : x
  2. Step 2: Convert to fraction form
    2,867.76/3,957.32 = 1,591.56/x
  3. Step 3: Cross multiply
    2,867.76x = 3,957.32 × 1,591.56
  4. Step 4: Simplify right side
    2,867.76x = 6,298,304.26
  5. Step 5: Solve for x
    x = 6,298,304.26/2,867.76
  6. Step 6: Final answer
    x = 2,196.25

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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.