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Finding the Fourth Proportional to 3,152.97, 4,351.04 and 1,736.69

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Solution

The fourth proportional to 3,152.97, 4,351.04 and 1,736.69 is: 2,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.97 : 4,351.04 = 1,736.69 : x
  2. Step 2: Convert to fraction form
    3,152.97/4,351.04 = 1,736.69/x
  3. Step 3: Cross multiply
    3,152.97x = 4,351.04 × 1,736.69
  4. Step 4: Simplify right side
    3,152.97x = 7,556,377.22
  5. Step 5: Solve for x
    x = 7,556,377.22/3,152.97
  6. Step 6: Final answer
    x = 2,396.59

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