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Finding the Fourth Proportional to 1,704.57, 2,352.41 and 996.42

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Solution

The fourth proportional to 1,704.57, 2,352.41 and 996.42 is: 1,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.57 : 2,352.41 = 996.42 : x
  2. Step 2: Convert to fraction form
    1,704.57/2,352.41 = 996.42/x
  3. Step 3: Cross multiply
    1,704.57x = 2,352.41 × 996.42
  4. Step 4: Simplify right side
    1,704.57x = 2,343,988.37
  5. Step 5: Solve for x
    x = 2,343,988.37/1,704.57
  6. Step 6: Final answer
    x = 1,375.12

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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.