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Finding the Fourth Proportional to 2,149.29, 3,218.49 and 1,801.71

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Solution

The fourth proportional to 2,149.29, 3,218.49 and 1,801.71 is: 2,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.29 : 3,218.49 = 1,801.71 : x
  2. Step 2: Convert to fraction form
    2,149.29/3,218.49 = 1,801.71/x
  3. Step 3: Cross multiply
    2,149.29x = 3,218.49 × 1,801.71
  4. Step 4: Simplify right side
    2,149.29x = 5,798,785.62
  5. Step 5: Solve for x
    x = 5,798,785.62/2,149.29
  6. Step 6: Final answer
    x = 2,698.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.