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Finding the Fourth Proportional to 2,772.72, 3,826.83 and 2,648.16

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Solution

The fourth proportional to 2,772.72, 3,826.83 and 2,648.16 is: 3,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.72 : 3,826.83 = 2,648.16 : x
  2. Step 2: Convert to fraction form
    2,772.72/3,826.83 = 2,648.16/x
  3. Step 3: Cross multiply
    2,772.72x = 3,826.83 × 2,648.16
  4. Step 4: Simplify right side
    2,772.72x = 10,134,058.13
  5. Step 5: Solve for x
    x = 10,134,058.13/2,772.72
  6. Step 6: Final answer
    x = 3,654.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.