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Finding the Fourth Proportional to 2,257.42, 3,385.79 and 871.41

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Solution

The fourth proportional to 2,257.42, 3,385.79 and 871.41 is: 1,306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.42 : 3,385.79 = 871.41 : x
  2. Step 2: Convert to fraction form
    2,257.42/3,385.79 = 871.41/x
  3. Step 3: Cross multiply
    2,257.42x = 3,385.79 × 871.41
  4. Step 4: Simplify right side
    2,257.42x = 2,950,411.26
  5. Step 5: Solve for x
    x = 2,950,411.26/2,257.42
  6. Step 6: Final answer
    x = 1,306.98

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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.