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Finding the Fourth Proportional to 2,239.80, 3,334.56 and 2,229

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Solution

The fourth proportional to 2,239.80, 3,334.56 and 2,229 is: 3,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.80 : 3,334.56 = 2,229 : x
  2. Step 2: Convert to fraction form
    2,239.80/3,334.56 = 2,229/x
  3. Step 3: Cross multiply
    2,239.80x = 3,334.56 × 2,229
  4. Step 4: Simplify right side
    2,239.80x = 7,432,734.24
  5. Step 5: Solve for x
    x = 7,432,734.24/2,239.80
  6. Step 6: Final answer
    x = 3,318.48

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Why These Related Problems?

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