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Finding the Fourth Proportional to 3,102.78, 4,652.36 and 1,022.22

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Solution

The fourth proportional to 3,102.78, 4,652.36 and 1,022.22 is: 1,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.78 : 4,652.36 = 1,022.22 : x
  2. Step 2: Convert to fraction form
    3,102.78/4,652.36 = 1,022.22/x
  3. Step 3: Cross multiply
    3,102.78x = 4,652.36 × 1,022.22
  4. Step 4: Simplify right side
    3,102.78x = 4,755,737.04
  5. Step 5: Solve for x
    x = 4,755,737.04/3,102.78
  6. Step 6: Final answer
    x = 1,532.73

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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.