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Finding the Fourth Proportional to 2,114.56, 2,918.09 and 1,183.06

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Solution

The fourth proportional to 2,114.56, 2,918.09 and 1,183.06 is: 1,632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.56 : 2,918.09 = 1,183.06 : x
  2. Step 2: Convert to fraction form
    2,114.56/2,918.09 = 1,183.06/x
  3. Step 3: Cross multiply
    2,114.56x = 2,918.09 × 1,183.06
  4. Step 4: Simplify right side
    2,114.56x = 3,452,275.56
  5. Step 5: Solve for x
    x = 3,452,275.56/2,114.56
  6. Step 6: Final answer
    x = 1,632.62

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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.