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Finding the Fourth Proportional to 1,808.89, 2,713.47 and 768.78

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Solution

The fourth proportional to 1,808.89, 2,713.47 and 768.78 is: 1,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.89 : 2,713.47 = 768.78 : x
  2. Step 2: Convert to fraction form
    1,808.89/2,713.47 = 768.78/x
  3. Step 3: Cross multiply
    1,808.89x = 2,713.47 × 768.78
  4. Step 4: Simplify right side
    1,808.89x = 2,086,061.47
  5. Step 5: Solve for x
    x = 2,086,061.47/1,808.89
  6. Step 6: Final answer
    x = 1,153.23

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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.