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Finding the Fourth Proportional to 2,850.79, 4,276.48 and 770.81

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Solution

The fourth proportional to 2,850.79, 4,276.48 and 770.81 is: 1,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.79 : 4,276.48 = 770.81 : x
  2. Step 2: Convert to fraction form
    2,850.79/4,276.48 = 770.81/x
  3. Step 3: Cross multiply
    2,850.79x = 4,276.48 × 770.81
  4. Step 4: Simplify right side
    2,850.79x = 3,296,353.55
  5. Step 5: Solve for x
    x = 3,296,353.55/2,850.79
  6. Step 6: Final answer
    x = 1,156.29

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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.