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Finding the Fourth Proportional to 2,696.65, 4,045.11 and 965.28

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Solution

The fourth proportional to 2,696.65, 4,045.11 and 965.28 is: 1,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.65 : 4,045.11 = 965.28 : x
  2. Step 2: Convert to fraction form
    2,696.65/4,045.11 = 965.28/x
  3. Step 3: Cross multiply
    2,696.65x = 4,045.11 × 965.28
  4. Step 4: Simplify right side
    2,696.65x = 3,904,663.78
  5. Step 5: Solve for x
    x = 3,904,663.78/2,696.65
  6. Step 6: Final answer
    x = 1,447.97

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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.