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Finding the Fourth Proportional to 2,227.64, 3,074.54 and 1,399.16

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Solution

The fourth proportional to 2,227.64, 3,074.54 and 1,399.16 is: 1,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.64 : 3,074.54 = 1,399.16 : x
  2. Step 2: Convert to fraction form
    2,227.64/3,074.54 = 1,399.16/x
  3. Step 3: Cross multiply
    2,227.64x = 3,074.54 × 1,399.16
  4. Step 4: Simplify right side
    2,227.64x = 4,301,773.39
  5. Step 5: Solve for x
    x = 4,301,773.39/2,227.64
  6. Step 6: Final answer
    x = 1,931.09

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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.