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Finding the Fourth Proportional to 2,452.85, 3,383.24 and 1,696.30

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Solution

The fourth proportional to 2,452.85, 3,383.24 and 1,696.30 is: 2,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.85 : 3,383.24 = 1,696.30 : x
  2. Step 2: Convert to fraction form
    2,452.85/3,383.24 = 1,696.30/x
  3. Step 3: Cross multiply
    2,452.85x = 3,383.24 × 1,696.30
  4. Step 4: Simplify right side
    2,452.85x = 5,738,973.07
  5. Step 5: Solve for x
    x = 5,738,973.07/2,452.85
  6. Step 6: Final answer
    x = 2,339.71

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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.