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Finding the Fourth Proportional to 2,665.50, 3,982.08 and 2,228.10

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Solution

The fourth proportional to 2,665.50, 3,982.08 and 2,228.10 is: 3,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.50 : 3,982.08 = 2,228.10 : x
  2. Step 2: Convert to fraction form
    2,665.50/3,982.08 = 2,228.10/x
  3. Step 3: Cross multiply
    2,665.50x = 3,982.08 × 2,228.10
  4. Step 4: Simplify right side
    2,665.50x = 8,872,472.45
  5. Step 5: Solve for x
    x = 8,872,472.45/2,665.50
  6. Step 6: Final answer
    x = 3,328.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.