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Finding the Fourth Proportional to 2,867.32, 3,957.42 and 1,984.24

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Solution

The fourth proportional to 2,867.32, 3,957.42 and 1,984.24 is: 2,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.32 : 3,957.42 = 1,984.24 : x
  2. Step 2: Convert to fraction form
    2,867.32/3,957.42 = 1,984.24/x
  3. Step 3: Cross multiply
    2,867.32x = 3,957.42 × 1,984.24
  4. Step 4: Simplify right side
    2,867.32x = 7,852,471.06
  5. Step 5: Solve for x
    x = 7,852,471.06/2,867.32
  6. Step 6: Final answer
    x = 2,738.61

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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.