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Finding the Fourth Proportional to 1,601.84, 2,402.44 and 871.28

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Solution

The fourth proportional to 1,601.84, 2,402.44 and 871.28 is: 1,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.84 : 2,402.44 = 871.28 : x
  2. Step 2: Convert to fraction form
    1,601.84/2,402.44 = 871.28/x
  3. Step 3: Cross multiply
    1,601.84x = 2,402.44 × 871.28
  4. Step 4: Simplify right side
    1,601.84x = 2,093,197.92
  5. Step 5: Solve for x
    x = 2,093,197.92/1,601.84
  6. Step 6: Final answer
    x = 1,306.75

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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.