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Finding the Fourth Proportional to 4,661.50, 6,989.97 and 2,194.24

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Solution

The fourth proportional to 4,661.50, 6,989.97 and 2,194.24 is: 3,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.50 : 6,989.97 = 2,194.24 : x
  2. Step 2: Convert to fraction form
    4,661.50/6,989.97 = 2,194.24/x
  3. Step 3: Cross multiply
    4,661.50x = 6,989.97 × 2,194.24
  4. Step 4: Simplify right side
    4,661.50x = 15,337,671.77
  5. Step 5: Solve for x
    x = 15,337,671.77/4,661.50
  6. Step 6: Final answer
    x = 3,290.29

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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.