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Finding the Fourth Proportional to 2,375.76, 3,277.62 and 1,380.86

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Solution

The fourth proportional to 2,375.76, 3,277.62 and 1,380.86 is: 1,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.76 : 3,277.62 = 1,380.86 : x
  2. Step 2: Convert to fraction form
    2,375.76/3,277.62 = 1,380.86/x
  3. Step 3: Cross multiply
    2,375.76x = 3,277.62 × 1,380.86
  4. Step 4: Simplify right side
    2,375.76x = 4,525,917.97
  5. Step 5: Solve for x
    x = 4,525,917.97/2,375.76
  6. Step 6: Final answer
    x = 1,905.04

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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.