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Finding the Fourth Proportional to 2,000.55, 2,760.73 and 1,161.42

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Solution

The fourth proportional to 2,000.55, 2,760.73 and 1,161.42 is: 1,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.55 : 2,760.73 = 1,161.42 : x
  2. Step 2: Convert to fraction form
    2,000.55/2,760.73 = 1,161.42/x
  3. Step 3: Cross multiply
    2,000.55x = 2,760.73 × 1,161.42
  4. Step 4: Simplify right side
    2,000.55x = 3,206,367.04
  5. Step 5: Solve for x
    x = 3,206,367.04/2,000.55
  6. Step 6: Final answer
    x = 1,602.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.