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Finding the Fourth Proportional to 2,269.86, 3,406.41 and 809.03

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Solution

The fourth proportional to 2,269.86, 3,406.41 and 809.03 is: 1,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.86 : 3,406.41 = 809.03 : x
  2. Step 2: Convert to fraction form
    2,269.86/3,406.41 = 809.03/x
  3. Step 3: Cross multiply
    2,269.86x = 3,406.41 × 809.03
  4. Step 4: Simplify right side
    2,269.86x = 2,755,870.85
  5. Step 5: Solve for x
    x = 2,755,870.85/2,269.86
  6. Step 6: Final answer
    x = 1,214.11

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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.