Home / 2,197.25-3,292.80-964.33

Finding the Fourth Proportional to 2,197.25, 3,292.80 and 964.33

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Solution

The fourth proportional to 2,197.25, 3,292.80 and 964.33 is: 1,445.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.25 : 3,292.80 = 964.33 : x
  2. Step 2: Convert to fraction form
    2,197.25/3,292.80 = 964.33/x
  3. Step 3: Cross multiply
    2,197.25x = 3,292.80 × 964.33
  4. Step 4: Simplify right side
    2,197.25x = 3,175,348.66
  5. Step 5: Solve for x
    x = 3,175,348.66/2,197.25
  6. Step 6: Final answer
    x = 1,445.15

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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.