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Finding the Fourth Proportional to 1,815.69, 2,488.20 and 1,640.73

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Solution

The fourth proportional to 1,815.69, 2,488.20 and 1,640.73 is: 2,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.69 : 2,488.20 = 1,640.73 : x
  2. Step 2: Convert to fraction form
    1,815.69/2,488.20 = 1,640.73/x
  3. Step 3: Cross multiply
    1,815.69x = 2,488.20 × 1,640.73
  4. Step 4: Simplify right side
    1,815.69x = 4,082,464.39
  5. Step 5: Solve for x
    x = 4,082,464.39/1,815.69
  6. Step 6: Final answer
    x = 2,248.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.