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Finding the Fourth Proportional to 2,269.55, 3,399.89 and 1,565.10

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Solution

The fourth proportional to 2,269.55, 3,399.89 and 1,565.10 is: 2,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.55 : 3,399.89 = 1,565.10 : x
  2. Step 2: Convert to fraction form
    2,269.55/3,399.89 = 1,565.10/x
  3. Step 3: Cross multiply
    2,269.55x = 3,399.89 × 1,565.10
  4. Step 4: Simplify right side
    2,269.55x = 5,321,160.01
  5. Step 5: Solve for x
    x = 5,321,160.01/2,269.55
  6. Step 6: Final answer
    x = 2,344.59

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