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Finding the Fourth Proportional to 2,375.34, 3,277.98 and 1,327.38

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Solution

The fourth proportional to 2,375.34, 3,277.98 and 1,327.38 is: 1,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.34 : 3,277.98 = 1,327.38 : x
  2. Step 2: Convert to fraction form
    2,375.34/3,277.98 = 1,327.38/x
  3. Step 3: Cross multiply
    2,375.34x = 3,277.98 × 1,327.38
  4. Step 4: Simplify right side
    2,375.34x = 4,351,125.09
  5. Step 5: Solve for x
    x = 4,351,125.09/2,375.34
  6. Step 6: Final answer
    x = 1,831.79

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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.