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Finding the Fourth Proportional to 1,704.81, 2,352.87 and 996.87

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Solution

The fourth proportional to 1,704.81, 2,352.87 and 996.87 is: 1,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.81 : 2,352.87 = 996.87 : x
  2. Step 2: Convert to fraction form
    1,704.81/2,352.87 = 996.87/x
  3. Step 3: Cross multiply
    1,704.81x = 2,352.87 × 996.87
  4. Step 4: Simplify right side
    1,704.81x = 2,345,505.52
  5. Step 5: Solve for x
    x = 2,345,505.52/1,704.81
  6. Step 6: Final answer
    x = 1,375.82

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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.