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Finding the Fourth Proportional to 2,561.55, 3,838.08 and 1,557.86

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Solution

The fourth proportional to 2,561.55, 3,838.08 and 1,557.86 is: 2,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.55 : 3,838.08 = 1,557.86 : x
  2. Step 2: Convert to fraction form
    2,561.55/3,838.08 = 1,557.86/x
  3. Step 3: Cross multiply
    2,561.55x = 3,838.08 × 1,557.86
  4. Step 4: Simplify right side
    2,561.55x = 5,979,173.92
  5. Step 5: Solve for x
    x = 5,979,173.92/2,561.55
  6. Step 6: Final answer
    x = 2,334.20

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