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Finding the Fourth Proportional to 2,375.94, 3,278.83 and 1,328

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Solution

The fourth proportional to 2,375.94, 3,278.83 and 1,328 is: 1,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.94 : 3,278.83 = 1,328 : x
  2. Step 2: Convert to fraction form
    2,375.94/3,278.83 = 1,328/x
  3. Step 3: Cross multiply
    2,375.94x = 3,278.83 × 1,328
  4. Step 4: Simplify right side
    2,375.94x = 4,354,286.24
  5. Step 5: Solve for x
    x = 4,354,286.24/2,375.94
  6. Step 6: Final answer
    x = 1,832.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.