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Finding the Fourth Proportional to 2,116.52, 3,171.30 and 729.12

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Solution

The fourth proportional to 2,116.52, 3,171.30 and 729.12 is: 1,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.52 : 3,171.30 = 729.12 : x
  2. Step 2: Convert to fraction form
    2,116.52/3,171.30 = 729.12/x
  3. Step 3: Cross multiply
    2,116.52x = 3,171.30 × 729.12
  4. Step 4: Simplify right side
    2,116.52x = 2,312,258.26
  5. Step 5: Solve for x
    x = 2,312,258.26/2,116.52
  6. Step 6: Final answer
    x = 1,092.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.