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Finding the Fourth Proportional to 2,003.06, 3,004.78 and 542.22

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Solution

The fourth proportional to 2,003.06, 3,004.78 and 542.22 is: 813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.06 : 3,004.78 = 542.22 : x
  2. Step 2: Convert to fraction form
    2,003.06/3,004.78 = 542.22/x
  3. Step 3: Cross multiply
    2,003.06x = 3,004.78 × 542.22
  4. Step 4: Simplify right side
    2,003.06x = 1,629,251.81
  5. Step 5: Solve for x
    x = 1,629,251.81/2,003.06
  6. Step 6: Final answer
    x = 813.38

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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.