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Finding the Fourth Proportional to 2,241.42, 3,363.30 and 1,072.74

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Solution

The fourth proportional to 2,241.42, 3,363.30 and 1,072.74 is: 1,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.42 : 3,363.30 = 1,072.74 : x
  2. Step 2: Convert to fraction form
    2,241.42/3,363.30 = 1,072.74/x
  3. Step 3: Cross multiply
    2,241.42x = 3,363.30 × 1,072.74
  4. Step 4: Simplify right side
    2,241.42x = 3,607,946.44
  5. Step 5: Solve for x
    x = 3,607,946.44/2,241.42
  6. Step 6: Final answer
    x = 1,609.67

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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.