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Finding the Fourth Proportional to 2,375.63, 3,278.43 and 1,327.76

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Solution

The fourth proportional to 2,375.63, 3,278.43 and 1,327.76 is: 1,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.63 : 3,278.43 = 1,327.76 : x
  2. Step 2: Convert to fraction form
    2,375.63/3,278.43 = 1,327.76/x
  3. Step 3: Cross multiply
    2,375.63x = 3,278.43 × 1,327.76
  4. Step 4: Simplify right side
    2,375.63x = 4,352,968.22
  5. Step 5: Solve for x
    x = 4,352,968.22/2,375.63
  6. Step 6: Final answer
    x = 1,832.34

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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.