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Finding the Fourth Proportional to 3,415.50, 5,121.62 and 2,029.02

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Solution

The fourth proportional to 3,415.50, 5,121.62 and 2,029.02 is: 3,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.50 : 5,121.62 = 2,029.02 : x
  2. Step 2: Convert to fraction form
    3,415.50/5,121.62 = 2,029.02/x
  3. Step 3: Cross multiply
    3,415.50x = 5,121.62 × 2,029.02
  4. Step 4: Simplify right side
    3,415.50x = 10,391,869.41
  5. Step 5: Solve for x
    x = 10,391,869.41/3,415.50
  6. Step 6: Final answer
    x = 3,042.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.