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Finding the Fourth Proportional to 2,021.28, 3,031.92 and 723.12

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Solution

The fourth proportional to 2,021.28, 3,031.92 and 723.12 is: 1,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.28 : 3,031.92 = 723.12 : x
  2. Step 2: Convert to fraction form
    2,021.28/3,031.92 = 723.12/x
  3. Step 3: Cross multiply
    2,021.28x = 3,031.92 × 723.12
  4. Step 4: Simplify right side
    2,021.28x = 2,192,441.99
  5. Step 5: Solve for x
    x = 2,192,441.99/2,021.28
  6. Step 6: Final answer
    x = 1,084.68

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