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Finding the Fourth Proportional to 2,565.24, 3,848.04 and 1,920.12

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Solution

The fourth proportional to 2,565.24, 3,848.04 and 1,920.12 is: 2,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.24 : 3,848.04 = 1,920.12 : x
  2. Step 2: Convert to fraction form
    2,565.24/3,848.04 = 1,920.12/x
  3. Step 3: Cross multiply
    2,565.24x = 3,848.04 × 1,920.12
  4. Step 4: Simplify right side
    2,565.24x = 7,388,698.56
  5. Step 5: Solve for x
    x = 7,388,698.56/2,565.24
  6. Step 6: Final answer
    x = 2,880.31

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