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Finding the Fourth Proportional to 1,864.34, 2,796.56 and 768.79

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Solution

The fourth proportional to 1,864.34, 2,796.56 and 768.79 is: 1,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.34 : 2,796.56 = 768.79 : x
  2. Step 2: Convert to fraction form
    1,864.34/2,796.56 = 768.79/x
  3. Step 3: Cross multiply
    1,864.34x = 2,796.56 × 768.79
  4. Step 4: Simplify right side
    1,864.34x = 2,149,949.54
  5. Step 5: Solve for x
    x = 2,149,949.54/1,864.34
  6. Step 6: Final answer
    x = 1,153.20

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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.