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Finding the Fourth Proportional to 2,000.94, 2,761.17 and 1,116.75

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Solution

The fourth proportional to 2,000.94, 2,761.17 and 1,116.75 is: 1,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.94 : 2,761.17 = 1,116.75 : x
  2. Step 2: Convert to fraction form
    2,000.94/2,761.17 = 1,116.75/x
  3. Step 3: Cross multiply
    2,000.94x = 2,761.17 × 1,116.75
  4. Step 4: Simplify right side
    2,000.94x = 3,083,536.60
  5. Step 5: Solve for x
    x = 3,083,536.60/2,000.94
  6. Step 6: Final answer
    x = 1,541.04

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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.