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Finding the Fourth Proportional to 3,076.81, 4,617.84 and 1,229.23

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Solution

The fourth proportional to 3,076.81, 4,617.84 and 1,229.23 is: 1,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.81 : 4,617.84 = 1,229.23 : x
  2. Step 2: Convert to fraction form
    3,076.81/4,617.84 = 1,229.23/x
  3. Step 3: Cross multiply
    3,076.81x = 4,617.84 × 1,229.23
  4. Step 4: Simplify right side
    3,076.81x = 5,676,387.46
  5. Step 5: Solve for x
    x = 5,676,387.46/3,076.81
  6. Step 6: Final answer
    x = 1,844.89

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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.