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Finding the Fourth Proportional to 2,022, 3,033.76 and 654

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Solution

The fourth proportional to 2,022, 3,033.76 and 654 is: 981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022 : 3,033.76 = 654 : x
  2. Step 2: Convert to fraction form
    2,022/3,033.76 = 654/x
  3. Step 3: Cross multiply
    2,022x = 3,033.76 × 654
  4. Step 4: Simplify right side
    2,022x = 1,984,079.04
  5. Step 5: Solve for x
    x = 1,984,079.04/2,022
  6. Step 6: Final answer
    x = 981.25

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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.