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Finding the Fourth Proportional to 2,113.62, 3,170.43 and 881.61

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Solution

The fourth proportional to 2,113.62, 3,170.43 and 881.61 is: 1,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.62 : 3,170.43 = 881.61 : x
  2. Step 2: Convert to fraction form
    2,113.62/3,170.43 = 881.61/x
  3. Step 3: Cross multiply
    2,113.62x = 3,170.43 × 881.61
  4. Step 4: Simplify right side
    2,113.62x = 2,795,082.79
  5. Step 5: Solve for x
    x = 2,795,082.79/2,113.62
  6. Step 6: Final answer
    x = 1,322.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.