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Finding the Fourth Proportional to 2,086.39, 3,129.90 and 769.94

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Solution

The fourth proportional to 2,086.39, 3,129.90 and 769.94 is: 1,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.39 : 3,129.90 = 769.94 : x
  2. Step 2: Convert to fraction form
    2,086.39/3,129.90 = 769.94/x
  3. Step 3: Cross multiply
    2,086.39x = 3,129.90 × 769.94
  4. Step 4: Simplify right side
    2,086.39x = 2,409,815.71
  5. Step 5: Solve for x
    x = 2,409,815.71/2,086.39
  6. Step 6: Final answer
    x = 1,155.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.