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Finding the Fourth Proportional to 2,022, 3,032.64 and 561.27

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Solution

The fourth proportional to 2,022, 3,032.64 and 561.27 is: 841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022 : 3,032.64 = 561.27 : x
  2. Step 2: Convert to fraction form
    2,022/3,032.64 = 561.27/x
  3. Step 3: Cross multiply
    2,022x = 3,032.64 × 561.27
  4. Step 4: Simplify right side
    2,022x = 1,702,129.85
  5. Step 5: Solve for x
    x = 1,702,129.85/2,022
  6. Step 6: Final answer
    x = 841.81

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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.