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Finding the Fourth Proportional to 2,024.22, 3,036 and 563.04

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Solution

The fourth proportional to 2,024.22, 3,036 and 563.04 is: 844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.22 : 3,036 = 563.04 : x
  2. Step 2: Convert to fraction form
    2,024.22/3,036 = 563.04/x
  3. Step 3: Cross multiply
    2,024.22x = 3,036 × 563.04
  4. Step 4: Simplify right side
    2,024.22x = 1,709,389.44
  5. Step 5: Solve for x
    x = 1,709,389.44/2,024.22
  6. Step 6: Final answer
    x = 844.47

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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.