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Finding the Fourth Proportional to 2,006.80, 2,770.52 and 1,785.11

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Solution

The fourth proportional to 2,006.80, 2,770.52 and 1,785.11 is: 2,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.80 : 2,770.52 = 1,785.11 : x
  2. Step 2: Convert to fraction form
    2,006.80/2,770.52 = 1,785.11/x
  3. Step 3: Cross multiply
    2,006.80x = 2,770.52 × 1,785.11
  4. Step 4: Simplify right side
    2,006.80x = 4,945,660.18
  5. Step 5: Solve for x
    x = 4,945,660.18/2,006.80
  6. Step 6: Final answer
    x = 2,464.45

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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.