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Finding the Fourth Proportional to 2,396.68, 3,595.37 and 1,226.05

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Solution

The fourth proportional to 2,396.68, 3,595.37 and 1,226.05 is: 1,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.68 : 3,595.37 = 1,226.05 : x
  2. Step 2: Convert to fraction form
    2,396.68/3,595.37 = 1,226.05/x
  3. Step 3: Cross multiply
    2,396.68x = 3,595.37 × 1,226.05
  4. Step 4: Simplify right side
    2,396.68x = 4,408,103.39
  5. Step 5: Solve for x
    x = 4,408,103.39/2,396.68
  6. Step 6: Final answer
    x = 1,839.25

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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.