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Finding the Fourth Proportional to 2,086.85, 3,129.18 and 770.26

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Solution

The fourth proportional to 2,086.85, 3,129.18 and 770.26 is: 1,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.85 : 3,129.18 = 770.26 : x
  2. Step 2: Convert to fraction form
    2,086.85/3,129.18 = 770.26/x
  3. Step 3: Cross multiply
    2,086.85x = 3,129.18 × 770.26
  4. Step 4: Simplify right side
    2,086.85x = 2,410,282.19
  5. Step 5: Solve for x
    x = 2,410,282.19/2,086.85
  6. Step 6: Final answer
    x = 1,154.99

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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.