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Finding the Fourth Proportional to 2,170.77, 3,254.31 and 871.53

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Solution

The fourth proportional to 2,170.77, 3,254.31 and 871.53 is: 1,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.77 : 3,254.31 = 871.53 : x
  2. Step 2: Convert to fraction form
    2,170.77/3,254.31 = 871.53/x
  3. Step 3: Cross multiply
    2,170.77x = 3,254.31 × 871.53
  4. Step 4: Simplify right side
    2,170.77x = 2,836,228.79
  5. Step 5: Solve for x
    x = 2,836,228.79/2,170.77
  6. Step 6: Final answer
    x = 1,306.55

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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.