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Finding the Fourth Proportional to 2,808.26, 4,213.06 and 860.46

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Solution

The fourth proportional to 2,808.26, 4,213.06 and 860.46 is: 1,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.26 : 4,213.06 = 860.46 : x
  2. Step 2: Convert to fraction form
    2,808.26/4,213.06 = 860.46/x
  3. Step 3: Cross multiply
    2,808.26x = 4,213.06 × 860.46
  4. Step 4: Simplify right side
    2,808.26x = 3,625,169.61
  5. Step 5: Solve for x
    x = 3,625,169.61/2,808.26
  6. Step 6: Final answer
    x = 1,290.90

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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.