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Finding the Fourth Proportional to 2,696.84, 4,042.74 and 965.24

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Solution

The fourth proportional to 2,696.84, 4,042.74 and 965.24 is: 1,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.84 : 4,042.74 = 965.24 : x
  2. Step 2: Convert to fraction form
    2,696.84/4,042.74 = 965.24/x
  3. Step 3: Cross multiply
    2,696.84x = 4,042.74 × 965.24
  4. Step 4: Simplify right side
    2,696.84x = 3,902,214.36
  5. Step 5: Solve for x
    x = 3,902,214.36/2,696.84
  6. Step 6: Final answer
    x = 1,446.96

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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.