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Finding the Fourth Proportional to 2,022.03, 3,033.03 and 561.15

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Solution

The fourth proportional to 2,022.03, 3,033.03 and 561.15 is: 841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.03 : 3,033.03 = 561.15 : x
  2. Step 2: Convert to fraction form
    2,022.03/3,033.03 = 561.15/x
  3. Step 3: Cross multiply
    2,022.03x = 3,033.03 × 561.15
  4. Step 4: Simplify right side
    2,022.03x = 1,701,984.78
  5. Step 5: Solve for x
    x = 1,701,984.78/2,022.03
  6. Step 6: Final answer
    x = 841.72

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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.