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Finding the Fourth Proportional to 2,226.89, 3,341.05 and 766.13

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Solution

The fourth proportional to 2,226.89, 3,341.05 and 766.13 is: 1,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.89 : 3,341.05 = 766.13 : x
  2. Step 2: Convert to fraction form
    2,226.89/3,341.05 = 766.13/x
  3. Step 3: Cross multiply
    2,226.89x = 3,341.05 × 766.13
  4. Step 4: Simplify right side
    2,226.89x = 2,559,660.02
  5. Step 5: Solve for x
    x = 2,559,660.02/2,226.89
  6. Step 6: Final answer
    x = 1,149.43

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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.