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Finding the Fourth Proportional to 2,965.18, 4,447.85 and 773.86

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Solution

The fourth proportional to 2,965.18, 4,447.85 and 773.86 is: 1,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.18 : 4,447.85 = 773.86 : x
  2. Step 2: Convert to fraction form
    2,965.18/4,447.85 = 773.86/x
  3. Step 3: Cross multiply
    2,965.18x = 4,447.85 × 773.86
  4. Step 4: Simplify right side
    2,965.18x = 3,442,013.20
  5. Step 5: Solve for x
    x = 3,442,013.20/2,965.18
  6. Step 6: Final answer
    x = 1,160.81

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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.