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Finding the Fourth Proportional to 2,021.97, 3,033.11 and 561.24

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Solution

The fourth proportional to 2,021.97, 3,033.11 and 561.24 is: 841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.97 : 3,033.11 = 561.24 : x
  2. Step 2: Convert to fraction form
    2,021.97/3,033.11 = 561.24/x
  3. Step 3: Cross multiply
    2,021.97x = 3,033.11 × 561.24
  4. Step 4: Simplify right side
    2,021.97x = 1,702,304.06
  5. Step 5: Solve for x
    x = 1,702,304.06/2,021.97
  6. Step 6: Final answer
    x = 841.90

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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.