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Finding the Fourth Proportional to 2,183.70, 3,275.51 and 540.25

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Solution

The fourth proportional to 2,183.70, 3,275.51 and 540.25 is: 810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.70 : 3,275.51 = 540.25 : x
  2. Step 2: Convert to fraction form
    2,183.70/3,275.51 = 540.25/x
  3. Step 3: Cross multiply
    2,183.70x = 3,275.51 × 540.25
  4. Step 4: Simplify right side
    2,183.70x = 1,769,587.44
  5. Step 5: Solve for x
    x = 1,769,587.44/2,183.70
  6. Step 6: Final answer
    x = 810.36

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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.