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Finding the Fourth Proportional to 2,257.73, 3,385.91 and 870.96

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Solution

The fourth proportional to 2,257.73, 3,385.91 and 870.96 is: 1,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.73 : 3,385.91 = 870.96 : x
  2. Step 2: Convert to fraction form
    2,257.73/3,385.91 = 870.96/x
  3. Step 3: Cross multiply
    2,257.73x = 3,385.91 × 870.96
  4. Step 4: Simplify right side
    2,257.73x = 2,948,994.35
  5. Step 5: Solve for x
    x = 2,948,994.35/2,257.73
  6. Step 6: Final answer
    x = 1,306.18

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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.