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Finding the Fourth Proportional to 2,461.20, 3,691.76 and 729.84

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Solution

The fourth proportional to 2,461.20, 3,691.76 and 729.84 is: 1,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.20 : 3,691.76 = 729.84 : x
  2. Step 2: Convert to fraction form
    2,461.20/3,691.76 = 729.84/x
  3. Step 3: Cross multiply
    2,461.20x = 3,691.76 × 729.84
  4. Step 4: Simplify right side
    2,461.20x = 2,694,394.12
  5. Step 5: Solve for x
    x = 2,694,394.12/2,461.20
  6. Step 6: Final answer
    x = 1,094.75

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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.