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Finding the Fourth Proportional to 2,569.86, 3,851.04 and 1,398.86

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Solution

The fourth proportional to 2,569.86, 3,851.04 and 1,398.86 is: 2,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.86 : 3,851.04 = 1,398.86 : x
  2. Step 2: Convert to fraction form
    2,569.86/3,851.04 = 1,398.86/x
  3. Step 3: Cross multiply
    2,569.86x = 3,851.04 × 1,398.86
  4. Step 4: Simplify right side
    2,569.86x = 5,387,065.81
  5. Step 5: Solve for x
    x = 5,387,065.81/2,569.86
  6. Step 6: Final answer
    x = 2,096.25

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