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Finding the Fourth Proportional to 1,696.28, 2,340.89 and 950.23

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Solution

The fourth proportional to 1,696.28, 2,340.89 and 950.23 is: 1,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.28 : 2,340.89 = 950.23 : x
  2. Step 2: Convert to fraction form
    1,696.28/2,340.89 = 950.23/x
  3. Step 3: Cross multiply
    1,696.28x = 2,340.89 × 950.23
  4. Step 4: Simplify right side
    1,696.28x = 2,224,378.05
  5. Step 5: Solve for x
    x = 2,224,378.05/1,696.28
  6. Step 6: Final answer
    x = 1,311.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.