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Finding the Fourth Proportional to 2,461.75, 3,691.99 and 729.97

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Solution

The fourth proportional to 2,461.75, 3,691.99 and 729.97 is: 1,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.75 : 3,691.99 = 729.97 : x
  2. Step 2: Convert to fraction form
    2,461.75/3,691.99 = 729.97/x
  3. Step 3: Cross multiply
    2,461.75x = 3,691.99 × 729.97
  4. Step 4: Simplify right side
    2,461.75x = 2,695,041.94
  5. Step 5: Solve for x
    x = 2,695,041.94/2,461.75
  6. Step 6: Final answer
    x = 1,094.77

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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.