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Finding the Fourth Proportional to 2,000.70, 2,760.86 and 1,116.58

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Solution

The fourth proportional to 2,000.70, 2,760.86 and 1,116.58 is: 1,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.70 : 2,760.86 = 1,116.58 : x
  2. Step 2: Convert to fraction form
    2,000.70/2,760.86 = 1,116.58/x
  3. Step 3: Cross multiply
    2,000.70x = 2,760.86 × 1,116.58
  4. Step 4: Simplify right side
    2,000.70x = 3,082,721.06
  5. Step 5: Solve for x
    x = 3,082,721.06/2,000.70
  6. Step 6: Final answer
    x = 1,540.82

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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.