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Finding the Fourth Proportional to 2,801.72, 3,862.32 and 2,211.20

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Solution

The fourth proportional to 2,801.72, 3,862.32 and 2,211.20 is: 3,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.72 : 3,862.32 = 2,211.20 : x
  2. Step 2: Convert to fraction form
    2,801.72/3,862.32 = 2,211.20/x
  3. Step 3: Cross multiply
    2,801.72x = 3,862.32 × 2,211.20
  4. Step 4: Simplify right side
    2,801.72x = 8,540,361.98
  5. Step 5: Solve for x
    x = 8,540,361.98/2,801.72
  6. Step 6: Final answer
    x = 3,048.26

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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.