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Finding the Fourth Proportional to 2,406.96, 3,593.10 and 2,226.60

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Solution

The fourth proportional to 2,406.96, 3,593.10 and 2,226.60 is: 3,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.96 : 3,593.10 = 2,226.60 : x
  2. Step 2: Convert to fraction form
    2,406.96/3,593.10 = 2,226.60/x
  3. Step 3: Cross multiply
    2,406.96x = 3,593.10 × 2,226.60
  4. Step 4: Simplify right side
    2,406.96x = 8,000,396.46
  5. Step 5: Solve for x
    x = 8,000,396.46/2,406.96
  6. Step 6: Final answer
    x = 3,323.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.