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Finding the Fourth Proportional to 1,696.50, 2,542.32 and 965.10

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Solution

The fourth proportional to 1,696.50, 2,542.32 and 965.10 is: 1,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.50 : 2,542.32 = 965.10 : x
  2. Step 2: Convert to fraction form
    1,696.50/2,542.32 = 965.10/x
  3. Step 3: Cross multiply
    1,696.50x = 2,542.32 × 965.10
  4. Step 4: Simplify right side
    1,696.50x = 2,453,593.03
  5. Step 5: Solve for x
    x = 2,453,593.03/1,696.50
  6. Step 6: Final answer
    x = 1,446.27

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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.