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Finding the Fourth Proportional to 2,082.80, 3,124.14 and 766.86

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Solution

The fourth proportional to 2,082.80, 3,124.14 and 766.86 is: 1,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.80 : 3,124.14 = 766.86 : x
  2. Step 2: Convert to fraction form
    2,082.80/3,124.14 = 766.86/x
  3. Step 3: Cross multiply
    2,082.80x = 3,124.14 × 766.86
  4. Step 4: Simplify right side
    2,082.80x = 2,395,778.00
  5. Step 5: Solve for x
    x = 2,395,778.00/2,082.80
  6. Step 6: Final answer
    x = 1,150.27

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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.