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Finding the Fourth Proportional to 1,767.62, 2,651.80 and 844.22

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Solution

The fourth proportional to 1,767.62, 2,651.80 and 844.22 is: 1,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.62 : 2,651.80 = 844.22 : x
  2. Step 2: Convert to fraction form
    1,767.62/2,651.80 = 844.22/x
  3. Step 3: Cross multiply
    1,767.62x = 2,651.80 × 844.22
  4. Step 4: Simplify right side
    1,767.62x = 2,238,702.60
  5. Step 5: Solve for x
    x = 2,238,702.60/1,767.62
  6. Step 6: Final answer
    x = 1,266.51

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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.