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Finding the Fourth Proportional to 2,311.75, 3,452.86 and 2,092.03

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Solution

The fourth proportional to 2,311.75, 3,452.86 and 2,092.03 is: 3,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.75 : 3,452.86 = 2,092.03 : x
  2. Step 2: Convert to fraction form
    2,311.75/3,452.86 = 2,092.03/x
  3. Step 3: Cross multiply
    2,311.75x = 3,452.86 × 2,092.03
  4. Step 4: Simplify right side
    2,311.75x = 7,223,486.71
  5. Step 5: Solve for x
    x = 7,223,486.71/2,311.75
  6. Step 6: Final answer
    x = 3,124.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.