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Finding the Fourth Proportional to 2,701.05, 3,725.85 and 1,704.60

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Solution

The fourth proportional to 2,701.05, 3,725.85 and 1,704.60 is: 2,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.05 : 3,725.85 = 1,704.60 : x
  2. Step 2: Convert to fraction form
    2,701.05/3,725.85 = 1,704.60/x
  3. Step 3: Cross multiply
    2,701.05x = 3,725.85 × 1,704.60
  4. Step 4: Simplify right side
    2,701.05x = 6,351,083.91
  5. Step 5: Solve for x
    x = 6,351,083.91/2,701.05
  6. Step 6: Final answer
    x = 2,351.34

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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.