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Finding the Fourth Proportional to 2,000.77, 2,761.06 and 1,116.57

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Solution

The fourth proportional to 2,000.77, 2,761.06 and 1,116.57 is: 1,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.77 : 2,761.06 = 1,116.57 : x
  2. Step 2: Convert to fraction form
    2,000.77/2,761.06 = 1,116.57/x
  3. Step 3: Cross multiply
    2,000.77x = 2,761.06 × 1,116.57
  4. Step 4: Simplify right side
    2,000.77x = 3,082,916.76
  5. Step 5: Solve for x
    x = 3,082,916.76/2,000.77
  6. Step 6: Final answer
    x = 1,540.87

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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.