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Finding the Fourth Proportional to 2,841.62, 4,256.75 and 2,257.61

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Solution

The fourth proportional to 2,841.62, 4,256.75 and 2,257.61 is: 3,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.62 : 4,256.75 = 2,257.61 : x
  2. Step 2: Convert to fraction form
    2,841.62/4,256.75 = 2,257.61/x
  3. Step 3: Cross multiply
    2,841.62x = 4,256.75 × 2,257.61
  4. Step 4: Simplify right side
    2,841.62x = 9,610,065.73
  5. Step 5: Solve for x
    x = 9,610,065.73/2,841.62
  6. Step 6: Final answer
    x = 3,381.90

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1.5x scale

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.