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Finding the Fourth Proportional to 2,269.92, 3,401.04 and 1,617.36

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Solution

The fourth proportional to 2,269.92, 3,401.04 and 1,617.36 is: 2,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.92 : 3,401.04 = 1,617.36 : x
  2. Step 2: Convert to fraction form
    2,269.92/3,401.04 = 1,617.36/x
  3. Step 3: Cross multiply
    2,269.92x = 3,401.04 × 1,617.36
  4. Step 4: Simplify right side
    2,269.92x = 5,500,706.05
  5. Step 5: Solve for x
    x = 5,500,706.05/2,269.92
  6. Step 6: Final answer
    x = 2,423.30

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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.