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Finding the Fourth Proportional to 2,022.02, 3,033.03 and 561.17

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Solution

The fourth proportional to 2,022.02, 3,033.03 and 561.17 is: 841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.02 : 3,033.03 = 561.17 : x
  2. Step 2: Convert to fraction form
    2,022.02/3,033.03 = 561.17/x
  3. Step 3: Cross multiply
    2,022.02x = 3,033.03 × 561.17
  4. Step 4: Simplify right side
    2,022.02x = 1,702,052.33
  5. Step 5: Solve for x
    x = 1,702,052.33/2,022.02
  6. Step 6: Final answer
    x = 841.76

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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.