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Finding the Fourth Proportional to 3,073.19, 4,609.85 and 1,099.10

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Solution

The fourth proportional to 3,073.19, 4,609.85 and 1,099.10 is: 1,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.19 : 4,609.85 = 1,099.10 : x
  2. Step 2: Convert to fraction form
    3,073.19/4,609.85 = 1,099.10/x
  3. Step 3: Cross multiply
    3,073.19x = 4,609.85 × 1,099.10
  4. Step 4: Simplify right side
    3,073.19x = 5,066,692.16
  5. Step 5: Solve for x
    x = 5,066,692.16/3,073.19
  6. Step 6: Final answer
    x = 1,648.68

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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.