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Finding the Fourth Proportional to 2,071.20, 2,857.04 and 1,324.88

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Solution

The fourth proportional to 2,071.20, 2,857.04 and 1,324.88 is: 1,827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.20 : 2,857.04 = 1,324.88 : x
  2. Step 2: Convert to fraction form
    2,071.20/2,857.04 = 1,324.88/x
  3. Step 3: Cross multiply
    2,071.20x = 2,857.04 × 1,324.88
  4. Step 4: Simplify right side
    2,071.20x = 3,785,245.61
  5. Step 5: Solve for x
    x = 3,785,245.61/2,071.20
  6. Step 6: Final answer
    x = 1,827.56

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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.