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Finding the Fourth Proportional to 3,122.91, 4,684.38 and 1,735.92

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Solution

The fourth proportional to 3,122.91, 4,684.38 and 1,735.92 is: 2,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.91 : 4,684.38 = 1,735.92 : x
  2. Step 2: Convert to fraction form
    3,122.91/4,684.38 = 1,735.92/x
  3. Step 3: Cross multiply
    3,122.91x = 4,684.38 × 1,735.92
  4. Step 4: Simplify right side
    3,122.91x = 8,131,708.93
  5. Step 5: Solve for x
    x = 8,131,708.93/3,122.91
  6. Step 6: Final answer
    x = 2,603.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.