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Finding the Fourth Proportional to 2,114.72, 2,918.33 and 1,183.22

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Solution

The fourth proportional to 2,114.72, 2,918.33 and 1,183.22 is: 1,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.72 : 2,918.33 = 1,183.22 : x
  2. Step 2: Convert to fraction form
    2,114.72/2,918.33 = 1,183.22/x
  3. Step 3: Cross multiply
    2,114.72x = 2,918.33 × 1,183.22
  4. Step 4: Simplify right side
    2,114.72x = 3,453,005.91
  5. Step 5: Solve for x
    x = 3,453,005.91/2,114.72
  6. Step 6: Final answer
    x = 1,632.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.