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Finding the Fourth Proportional to 3,221.16, 4,830.18 and 1,922.28

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Solution

The fourth proportional to 3,221.16, 4,830.18 and 1,922.28 is: 2,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.16 : 4,830.18 = 1,922.28 : x
  2. Step 2: Convert to fraction form
    3,221.16/4,830.18 = 1,922.28/x
  3. Step 3: Cross multiply
    3,221.16x = 4,830.18 × 1,922.28
  4. Step 4: Simplify right side
    3,221.16x = 9,284,958.41
  5. Step 5: Solve for x
    x = 9,284,958.41/3,221.16
  6. Step 6: Final answer
    x = 2,882.49

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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.