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Finding the Fourth Proportional to 2,000.99, 2,761.40 and 1,116.81

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Solution

The fourth proportional to 2,000.99, 2,761.40 and 1,116.81 is: 1,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.99 : 2,761.40 = 1,116.81 : x
  2. Step 2: Convert to fraction form
    2,000.99/2,761.40 = 1,116.81/x
  3. Step 3: Cross multiply
    2,000.99x = 2,761.40 × 1,116.81
  4. Step 4: Simplify right side
    2,000.99x = 3,083,961.93
  5. Step 5: Solve for x
    x = 3,083,961.93/2,000.99
  6. Step 6: Final answer
    x = 1,541.22

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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.