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Finding the Fourth Proportional to 2,375.66, 3,278.54 and 1,381.46

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Solution

The fourth proportional to 2,375.66, 3,278.54 and 1,381.46 is: 1,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.66 : 3,278.54 = 1,381.46 : x
  2. Step 2: Convert to fraction form
    2,375.66/3,278.54 = 1,381.46/x
  3. Step 3: Cross multiply
    2,375.66x = 3,278.54 × 1,381.46
  4. Step 4: Simplify right side
    2,375.66x = 4,529,158.93
  5. Step 5: Solve for x
    x = 4,529,158.93/2,375.66
  6. Step 6: Final answer
    x = 1,906.48

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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.