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Finding the Fourth Proportional to 2,003.79, 3,005.45 and 542.85

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Solution

The fourth proportional to 2,003.79, 3,005.45 and 542.85 is: 814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.79 : 3,005.45 = 542.85 : x
  2. Step 2: Convert to fraction form
    2,003.79/3,005.45 = 542.85/x
  3. Step 3: Cross multiply
    2,003.79x = 3,005.45 × 542.85
  4. Step 4: Simplify right side
    2,003.79x = 1,631,516.54
  5. Step 5: Solve for x
    x = 1,631,516.54/2,003.79
  6. Step 6: Final answer
    x = 814.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.