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Finding the Fourth Proportional to 2,565.22, 3,848.24 and 1,084.46

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Solution

The fourth proportional to 2,565.22, 3,848.24 and 1,084.46 is: 1,626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.22 : 3,848.24 = 1,084.46 : x
  2. Step 2: Convert to fraction form
    2,565.22/3,848.24 = 1,084.46/x
  3. Step 3: Cross multiply
    2,565.22x = 3,848.24 × 1,084.46
  4. Step 4: Simplify right side
    2,565.22x = 4,173,243.11
  5. Step 5: Solve for x
    x = 4,173,243.11/2,565.22
  6. Step 6: Final answer
    x = 1,626.86

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