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Finding the Fourth Proportional to 2,704.25, 3,731.61 and 1,709.16

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Solution

The fourth proportional to 2,704.25, 3,731.61 and 1,709.16 is: 2,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.25 : 3,731.61 = 1,709.16 : x
  2. Step 2: Convert to fraction form
    2,704.25/3,731.61 = 1,709.16/x
  3. Step 3: Cross multiply
    2,704.25x = 3,731.61 × 1,709.16
  4. Step 4: Simplify right side
    2,704.25x = 6,377,918.55
  5. Step 5: Solve for x
    x = 6,377,918.55/2,704.25
  6. Step 6: Final answer
    x = 2,358.48

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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.