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Finding the Fourth Proportional to 2,023.02, 3,034.66 and 542.22

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Solution

The fourth proportional to 2,023.02, 3,034.66 and 542.22 is: 813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.02 : 3,034.66 = 542.22 : x
  2. Step 2: Convert to fraction form
    2,023.02/3,034.66 = 542.22/x
  3. Step 3: Cross multiply
    2,023.02x = 3,034.66 × 542.22
  4. Step 4: Simplify right side
    2,023.02x = 1,645,453.35
  5. Step 5: Solve for x
    x = 1,645,453.35/2,023.02
  6. Step 6: Final answer
    x = 813.36

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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.