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Finding the Fourth Proportional to 2,867.81, 3,957.44 and 1,591.61

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Solution

The fourth proportional to 2,867.81, 3,957.44 and 1,591.61 is: 2,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.81 : 3,957.44 = 1,591.61 : x
  2. Step 2: Convert to fraction form
    2,867.81/3,957.44 = 1,591.61/x
  3. Step 3: Cross multiply
    2,867.81x = 3,957.44 × 1,591.61
  4. Step 4: Simplify right side
    2,867.81x = 6,298,673.33
  5. Step 5: Solve for x
    x = 6,298,673.33/2,867.81
  6. Step 6: Final answer
    x = 2,196.34

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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.