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Finding the Fourth Proportional to 2,000.94, 2,761.45 and 1,161.90

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Solution

The fourth proportional to 2,000.94, 2,761.45 and 1,161.90 is: 1,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.94 : 2,761.45 = 1,161.90 : x
  2. Step 2: Convert to fraction form
    2,000.94/2,761.45 = 1,161.90/x
  3. Step 3: Cross multiply
    2,000.94x = 2,761.45 × 1,161.90
  4. Step 4: Simplify right side
    2,000.94x = 3,208,525.85
  5. Step 5: Solve for x
    x = 3,208,525.85/2,000.94
  6. Step 6: Final answer
    x = 1,603.51

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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.