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Finding the Fourth Proportional to 2,193.42, 3,290.43 and 806.43

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Solution

The fourth proportional to 2,193.42, 3,290.43 and 806.43 is: 1,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.42 : 3,290.43 = 806.43 : x
  2. Step 2: Convert to fraction form
    2,193.42/3,290.43 = 806.43/x
  3. Step 3: Cross multiply
    2,193.42x = 3,290.43 × 806.43
  4. Step 4: Simplify right side
    2,193.42x = 2,653,501.46
  5. Step 5: Solve for x
    x = 2,653,501.46/2,193.42
  6. Step 6: Final answer
    x = 1,209.76

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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.