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Finding the Fourth Proportional to 3,076.67, 4,612.25 and 1,128.42

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Solution

The fourth proportional to 3,076.67, 4,612.25 and 1,128.42 is: 1,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.67 : 4,612.25 = 1,128.42 : x
  2. Step 2: Convert to fraction form
    3,076.67/4,612.25 = 1,128.42/x
  3. Step 3: Cross multiply
    3,076.67x = 4,612.25 × 1,128.42
  4. Step 4: Simplify right side
    3,076.67x = 5,204,534.90
  5. Step 5: Solve for x
    x = 5,204,534.90/3,076.67
  6. Step 6: Final answer
    x = 1,691.62

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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.