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Finding the Fourth Proportional to 2,729.77, 4,092.27 and 974.50

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Solution

The fourth proportional to 2,729.77, 4,092.27 and 974.50 is: 1,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.77 : 4,092.27 = 974.50 : x
  2. Step 2: Convert to fraction form
    2,729.77/4,092.27 = 974.50/x
  3. Step 3: Cross multiply
    2,729.77x = 4,092.27 × 974.50
  4. Step 4: Simplify right side
    2,729.77x = 3,987,917.12
  5. Step 5: Solve for x
    x = 3,987,917.12/2,729.77
  6. Step 6: Final answer
    x = 1,460.90

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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.