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Finding the Fourth Proportional to 2,000.31, 2,760.10 and 1,116.11

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Solution

The fourth proportional to 2,000.31, 2,760.10 and 1,116.11 is: 1,540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.31 : 2,760.10 = 1,116.11 : x
  2. Step 2: Convert to fraction form
    2,000.31/2,760.10 = 1,116.11/x
  3. Step 3: Cross multiply
    2,000.31x = 2,760.10 × 1,116.11
  4. Step 4: Simplify right side
    2,000.31x = 3,080,582.46
  5. Step 5: Solve for x
    x = 3,080,582.46/2,000.31
  6. Step 6: Final answer
    x = 1,540.05

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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.