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Finding the Fourth Proportional to 2,228.48, 3,069.03 and 2,180.04

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Solution

The fourth proportional to 2,228.48, 3,069.03 and 2,180.04 is: 3,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.48 : 3,069.03 = 2,180.04 : x
  2. Step 2: Convert to fraction form
    2,228.48/3,069.03 = 2,180.04/x
  3. Step 3: Cross multiply
    2,228.48x = 3,069.03 × 2,180.04
  4. Step 4: Simplify right side
    2,228.48x = 6,690,608.16
  5. Step 5: Solve for x
    x = 6,690,608.16/2,228.48
  6. Step 6: Final answer
    x = 3,002.32

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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.