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Finding the Fourth Proportional to 1,824.80, 2,749.41 and 1,651.66

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Solution

The fourth proportional to 1,824.80, 2,749.41 and 1,651.66 is: 2,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.80 : 2,749.41 = 1,651.66 : x
  2. Step 2: Convert to fraction form
    1,824.80/2,749.41 = 1,651.66/x
  3. Step 3: Cross multiply
    1,824.80x = 2,749.41 × 1,651.66
  4. Step 4: Simplify right side
    1,824.80x = 4,541,083.65
  5. Step 5: Solve for x
    x = 4,541,083.65/1,824.80
  6. Step 6: Final answer
    x = 2,488.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.