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Finding the Fourth Proportional to 2,068.22, 3,101.52 and 769.28

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Solution

The fourth proportional to 2,068.22, 3,101.52 and 769.28 is: 1,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.22 : 3,101.52 = 769.28 : x
  2. Step 2: Convert to fraction form
    2,068.22/3,101.52 = 769.28/x
  3. Step 3: Cross multiply
    2,068.22x = 3,101.52 × 769.28
  4. Step 4: Simplify right side
    2,068.22x = 2,385,937.31
  5. Step 5: Solve for x
    x = 2,385,937.31/2,068.22
  6. Step 6: Final answer
    x = 1,153.62

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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.