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Finding the Fourth Proportional to 2,329.89, 3,495.56 and 769.91

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Solution

The fourth proportional to 2,329.89, 3,495.56 and 769.91 is: 1,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.89 : 3,495.56 = 769.91 : x
  2. Step 2: Convert to fraction form
    2,329.89/3,495.56 = 769.91/x
  3. Step 3: Cross multiply
    2,329.89x = 3,495.56 × 769.91
  4. Step 4: Simplify right side
    2,329.89x = 2,691,245.27
  5. Step 5: Solve for x
    x = 2,691,245.27/2,329.89
  6. Step 6: Final answer
    x = 1,155.10

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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.