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Finding the Fourth Proportional to 2,375.66, 3,278.48 and 1,381.07

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Solution

The fourth proportional to 2,375.66, 3,278.48 and 1,381.07 is: 1,905.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.66 : 3,278.48 = 1,381.07 : x
  2. Step 2: Convert to fraction form
    2,375.66/3,278.48 = 1,381.07/x
  3. Step 3: Cross multiply
    2,375.66x = 3,278.48 × 1,381.07
  4. Step 4: Simplify right side
    2,375.66x = 4,527,787.08
  5. Step 5: Solve for x
    x = 4,527,787.08/2,375.66
  6. Step 6: Final answer
    x = 1,905.91

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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.