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Finding the Fourth Proportional to 1,517.24, 2,266.66 and 965

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Solution

The fourth proportional to 1,517.24, 2,266.66 and 965 is: 1,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.24 : 2,266.66 = 965 : x
  2. Step 2: Convert to fraction form
    1,517.24/2,266.66 = 965/x
  3. Step 3: Cross multiply
    1,517.24x = 2,266.66 × 965
  4. Step 4: Simplify right side
    1,517.24x = 2,187,326.90
  5. Step 5: Solve for x
    x = 2,187,326.90/1,517.24
  6. Step 6: Final answer
    x = 1,441.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.