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Finding the Fourth Proportional to 2,068.89, 3,103.52 and 770.85

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Solution

The fourth proportional to 2,068.89, 3,103.52 and 770.85 is: 1,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.89 : 3,103.52 = 770.85 : x
  2. Step 2: Convert to fraction form
    2,068.89/3,103.52 = 770.85/x
  3. Step 3: Cross multiply
    2,068.89x = 3,103.52 × 770.85
  4. Step 4: Simplify right side
    2,068.89x = 2,392,344.54
  5. Step 5: Solve for x
    x = 2,392,344.54/2,068.89
  6. Step 6: Final answer
    x = 1,156.34

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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.