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Finding the Fourth Proportional to 2,565.98, 3,848.97 and 1,471.04

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Solution

The fourth proportional to 2,565.98, 3,848.97 and 1,471.04 is: 2,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.98 : 3,848.97 = 1,471.04 : x
  2. Step 2: Convert to fraction form
    2,565.98/3,848.97 = 1,471.04/x
  3. Step 3: Cross multiply
    2,565.98x = 3,848.97 × 1,471.04
  4. Step 4: Simplify right side
    2,565.98x = 5,661,988.83
  5. Step 5: Solve for x
    x = 5,661,988.83/2,565.98
  6. Step 6: Final answer
    x = 2,206.56

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