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Finding the Fourth Proportional to 2,022.96, 3,034.22 and 542.32

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Solution

The fourth proportional to 2,022.96, 3,034.22 and 542.32 is: 813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.96 : 3,034.22 = 542.32 : x
  2. Step 2: Convert to fraction form
    2,022.96/3,034.22 = 542.32/x
  3. Step 3: Cross multiply
    2,022.96x = 3,034.22 × 542.32
  4. Step 4: Simplify right side
    2,022.96x = 1,645,527.81
  5. Step 5: Solve for x
    x = 1,645,527.81/2,022.96
  6. Step 6: Final answer
    x = 813.43

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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.