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Finding the Fourth Proportional to 2,193.87, 3,282.94 and 2,047.23

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Solution

The fourth proportional to 2,193.87, 3,282.94 and 2,047.23 is: 3,063.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.87 : 3,282.94 = 2,047.23 : x
  2. Step 2: Convert to fraction form
    2,193.87/3,282.94 = 2,047.23/x
  3. Step 3: Cross multiply
    2,193.87x = 3,282.94 × 2,047.23
  4. Step 4: Simplify right side
    2,193.87x = 6,720,933.26
  5. Step 5: Solve for x
    x = 6,720,933.26/2,193.87
  6. Step 6: Final answer
    x = 3,063.51

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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.