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Finding the Fourth Proportional to 2,376.41, 3,278.64 and 1,380.87

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Solution

The fourth proportional to 2,376.41, 3,278.64 and 1,380.87 is: 1,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.41 : 3,278.64 = 1,380.87 : x
  2. Step 2: Convert to fraction form
    2,376.41/3,278.64 = 1,380.87/x
  3. Step 3: Cross multiply
    2,376.41x = 3,278.64 × 1,380.87
  4. Step 4: Simplify right side
    2,376.41x = 4,527,375.62
  5. Step 5: Solve for x
    x = 4,527,375.62/2,376.41
  6. Step 6: Final answer
    x = 1,905.14

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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.