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Finding the Fourth Proportional to 2,300.22, 3,469.49 and 2,029.74

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Solution

The fourth proportional to 2,300.22, 3,469.49 and 2,029.74 is: 3,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.22 : 3,469.49 = 2,029.74 : x
  2. Step 2: Convert to fraction form
    2,300.22/3,469.49 = 2,029.74/x
  3. Step 3: Cross multiply
    2,300.22x = 3,469.49 × 2,029.74
  4. Step 4: Simplify right side
    2,300.22x = 7,042,152.48
  5. Step 5: Solve for x
    x = 7,042,152.48/2,300.22
  6. Step 6: Final answer
    x = 3,061.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.