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Finding the Fourth Proportional to 2,114.66, 2,918.20 and 1,183.16

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Solution

The fourth proportional to 2,114.66, 2,918.20 and 1,183.16 is: 1,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.66 : 2,918.20 = 1,183.16 : x
  2. Step 2: Convert to fraction form
    2,114.66/2,918.20 = 1,183.16/x
  3. Step 3: Cross multiply
    2,114.66x = 2,918.20 × 1,183.16
  4. Step 4: Simplify right side
    2,114.66x = 3,452,697.51
  5. Step 5: Solve for x
    x = 3,452,697.51/2,114.66
  6. Step 6: Final answer
    x = 1,632.74

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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.