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Finding the Fourth Proportional to 3,230.13, 4,847.22 and 1,498.80

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Solution

The fourth proportional to 3,230.13, 4,847.22 and 1,498.80 is: 2,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.13 : 4,847.22 = 1,498.80 : x
  2. Step 2: Convert to fraction form
    3,230.13/4,847.22 = 1,498.80/x
  3. Step 3: Cross multiply
    3,230.13x = 4,847.22 × 1,498.80
  4. Step 4: Simplify right side
    3,230.13x = 7,265,013.34
  5. Step 5: Solve for x
    x = 7,265,013.34/3,230.13
  6. Step 6: Final answer
    x = 2,249.14

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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.