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Finding the Fourth Proportional to 2,228.30, 3,072.03 and 1,878.38

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Solution

The fourth proportional to 2,228.30, 3,072.03 and 1,878.38 is: 2,589.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.30 : 3,072.03 = 1,878.38 : x
  2. Step 2: Convert to fraction form
    2,228.30/3,072.03 = 1,878.38/x
  3. Step 3: Cross multiply
    2,228.30x = 3,072.03 × 1,878.38
  4. Step 4: Simplify right side
    2,228.30x = 5,770,439.71
  5. Step 5: Solve for x
    x = 5,770,439.71/2,228.30
  6. Step 6: Final answer
    x = 2,589.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.