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Finding the Fourth Proportional to 2,616.27, 3,927.03 and 1,522.77

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Solution

The fourth proportional to 2,616.27, 3,927.03 and 1,522.77 is: 2,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.27 : 3,927.03 = 1,522.77 : x
  2. Step 2: Convert to fraction form
    2,616.27/3,927.03 = 1,522.77/x
  3. Step 3: Cross multiply
    2,616.27x = 3,927.03 × 1,522.77
  4. Step 4: Simplify right side
    2,616.27x = 5,979,963.47
  5. Step 5: Solve for x
    x = 5,979,963.47/2,616.27
  6. Step 6: Final answer
    x = 2,285.68

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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.