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Finding the Fourth Proportional to 2,565.86, 3,846.16 and 1,948.26

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Solution

The fourth proportional to 2,565.86, 3,846.16 and 1,948.26 is: 2,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.86 : 3,846.16 = 1,948.26 : x
  2. Step 2: Convert to fraction form
    2,565.86/3,846.16 = 1,948.26/x
  3. Step 3: Cross multiply
    2,565.86x = 3,846.16 × 1,948.26
  4. Step 4: Simplify right side
    2,565.86x = 7,493,319.68
  5. Step 5: Solve for x
    x = 7,493,319.68/2,565.86
  6. Step 6: Final answer
    x = 2,920.39

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