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Finding the Fourth Proportional to 3,462.48, 4,778.64 and 1,970.60

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Solution

The fourth proportional to 3,462.48, 4,778.64 and 1,970.60 is: 2,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.48 : 4,778.64 = 1,970.60 : x
  2. Step 2: Convert to fraction form
    3,462.48/4,778.64 = 1,970.60/x
  3. Step 3: Cross multiply
    3,462.48x = 4,778.64 × 1,970.60
  4. Step 4: Simplify right side
    3,462.48x = 9,416,764.09
  5. Step 5: Solve for x
    x = 9,416,764.09/3,462.48
  6. Step 6: Final answer
    x = 2,719.66

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