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Finding the Fourth Proportional to 3,255.78, 4,877.55 and 1,610.40

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Solution

The fourth proportional to 3,255.78, 4,877.55 and 1,610.40 is: 2,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.78 : 4,877.55 = 1,610.40 : x
  2. Step 2: Convert to fraction form
    3,255.78/4,877.55 = 1,610.40/x
  3. Step 3: Cross multiply
    3,255.78x = 4,877.55 × 1,610.40
  4. Step 4: Simplify right side
    3,255.78x = 7,854,806.52
  5. Step 5: Solve for x
    x = 7,854,806.52/3,255.78
  6. Step 6: Final answer
    x = 2,412.57

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