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Finding the Fourth Proportional to 2,774.16, 3,844.89 and 2,722.32

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Solution

The fourth proportional to 2,774.16, 3,844.89 and 2,722.32 is: 3,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.16 : 3,844.89 = 2,722.32 : x
  2. Step 2: Convert to fraction form
    2,774.16/3,844.89 = 2,722.32/x
  3. Step 3: Cross multiply
    2,774.16x = 3,844.89 × 2,722.32
  4. Step 4: Simplify right side
    2,774.16x = 10,467,020.94
  5. Step 5: Solve for x
    x = 10,467,020.94/2,774.16
  6. Step 6: Final answer
    x = 3,773.04

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.