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Finding the Fourth Proportional to 2,324.76, 3,202.38 and 1,881.42

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Solution

The fourth proportional to 2,324.76, 3,202.38 and 1,881.42 is: 2,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.76 : 3,202.38 = 1,881.42 : x
  2. Step 2: Convert to fraction form
    2,324.76/3,202.38 = 1,881.42/x
  3. Step 3: Cross multiply
    2,324.76x = 3,202.38 × 1,881.42
  4. Step 4: Simplify right side
    2,324.76x = 6,025,021.78
  5. Step 5: Solve for x
    x = 6,025,021.78/2,324.76
  6. Step 6: Final answer
    x = 2,591.67

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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.