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Finding the Fourth Proportional to 2,183.10, 3,275.16 and 722.25

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Solution

The fourth proportional to 2,183.10, 3,275.16 and 722.25 is: 1,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.10 : 3,275.16 = 722.25 : x
  2. Step 2: Convert to fraction form
    2,183.10/3,275.16 = 722.25/x
  3. Step 3: Cross multiply
    2,183.10x = 3,275.16 × 722.25
  4. Step 4: Simplify right side
    2,183.10x = 2,365,484.31
  5. Step 5: Solve for x
    x = 2,365,484.31/2,183.10
  6. Step 6: Final answer
    x = 1,083.54

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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.