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Finding the Fourth Proportional to 3,174.00, 4,761.28 and 833.96

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Solution

The fourth proportional to 3,174.00, 4,761.28 and 833.96 is: 1,251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.00 : 4,761.28 = 833.96 : x
  2. Step 2: Convert to fraction form
    3,174.00/4,761.28 = 833.96/x
  3. Step 3: Cross multiply
    3,174.00x = 4,761.28 × 833.96
  4. Step 4: Simplify right side
    3,174.00x = 3,970,740.06
  5. Step 5: Solve for x
    x = 3,970,740.06/3,174.00
  6. Step 6: Final answer
    x = 1,251.02

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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.