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Finding the Fourth Proportional to 2,569.35, 3,851.01 and 2,260.56

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Solution

The fourth proportional to 2,569.35, 3,851.01 and 2,260.56 is: 3,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.35 : 3,851.01 = 2,260.56 : x
  2. Step 2: Convert to fraction form
    2,569.35/3,851.01 = 2,260.56/x
  3. Step 3: Cross multiply
    2,569.35x = 3,851.01 × 2,260.56
  4. Step 4: Simplify right side
    2,569.35x = 8,705,439.17
  5. Step 5: Solve for x
    x = 8,705,439.17/2,569.35
  6. Step 6: Final answer
    x = 3,388.19

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