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Finding the Fourth Proportional to 2,729.88, 4,095.24 and 974.76

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Solution

The fourth proportional to 2,729.88, 4,095.24 and 974.76 is: 1,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.88 : 4,095.24 = 974.76 : x
  2. Step 2: Convert to fraction form
    2,729.88/4,095.24 = 974.76/x
  3. Step 3: Cross multiply
    2,729.88x = 4,095.24 × 974.76
  4. Step 4: Simplify right side
    2,729.88x = 3,991,876.14
  5. Step 5: Solve for x
    x = 3,991,876.14/2,729.88
  6. Step 6: Final answer
    x = 1,462.29

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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.