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Finding the Fourth Proportional to 2,263.48, 3,396.12 and 2,081.92

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Solution

The fourth proportional to 2,263.48, 3,396.12 and 2,081.92 is: 3,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.48 : 3,396.12 = 2,081.92 : x
  2. Step 2: Convert to fraction form
    2,263.48/3,396.12 = 2,081.92/x
  3. Step 3: Cross multiply
    2,263.48x = 3,396.12 × 2,081.92
  4. Step 4: Simplify right side
    2,263.48x = 7,070,450.15
  5. Step 5: Solve for x
    x = 7,070,450.15/2,263.48
  6. Step 6: Final answer
    x = 3,123.71

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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.