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Finding the Fourth Proportional to 2,755.68, 3,801.60 and 1,872.24

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Solution

The fourth proportional to 2,755.68, 3,801.60 and 1,872.24 is: 2,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.68 : 3,801.60 = 1,872.24 : x
  2. Step 2: Convert to fraction form
    2,755.68/3,801.60 = 1,872.24/x
  3. Step 3: Cross multiply
    2,755.68x = 3,801.60 × 1,872.24
  4. Step 4: Simplify right side
    2,755.68x = 7,117,507.58
  5. Step 5: Solve for x
    x = 7,117,507.58/2,755.68
  6. Step 6: Final answer
    x = 2,582.85

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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.