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Finding the Fourth Proportional to 1,864.90, 2,796.60 and 769.06

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Solution

The fourth proportional to 1,864.90, 2,796.60 and 769.06 is: 1,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.90 : 2,796.60 = 769.06 : x
  2. Step 2: Convert to fraction form
    1,864.90/2,796.60 = 769.06/x
  3. Step 3: Cross multiply
    1,864.90x = 2,796.60 × 769.06
  4. Step 4: Simplify right side
    1,864.90x = 2,150,753.20
  5. Step 5: Solve for x
    x = 2,150,753.20/1,864.90
  6. Step 6: Final answer
    x = 1,153.28

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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.