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Finding the Fourth Proportional to 1,609.38, 2,408.58 and 1,349.67

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Solution

The fourth proportional to 1,609.38, 2,408.58 and 1,349.67 is: 2,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.38 : 2,408.58 = 1,349.67 : x
  2. Step 2: Convert to fraction form
    1,609.38/2,408.58 = 1,349.67/x
  3. Step 3: Cross multiply
    1,609.38x = 2,408.58 × 1,349.67
  4. Step 4: Simplify right side
    1,609.38x = 3,250,788.17
  5. Step 5: Solve for x
    x = 3,250,788.17/1,609.38
  6. Step 6: Final answer
    x = 2,019.90

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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.