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Finding the Fourth Proportional to 2,220.77, 3,331.62 and 834.08

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Solution

The fourth proportional to 2,220.77, 3,331.62 and 834.08 is: 1,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.77 : 3,331.62 = 834.08 : x
  2. Step 2: Convert to fraction form
    2,220.77/3,331.62 = 834.08/x
  3. Step 3: Cross multiply
    2,220.77x = 3,331.62 × 834.08
  4. Step 4: Simplify right side
    2,220.77x = 2,778,837.61
  5. Step 5: Solve for x
    x = 2,778,837.61/2,220.77
  6. Step 6: Final answer
    x = 1,251.29

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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.