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Finding the Fourth Proportional to 2,837.76, 3,908.64 and 2,415.84

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Solution

The fourth proportional to 2,837.76, 3,908.64 and 2,415.84 is: 3,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.76 : 3,908.64 = 2,415.84 : x
  2. Step 2: Convert to fraction form
    2,837.76/3,908.64 = 2,415.84/x
  3. Step 3: Cross multiply
    2,837.76x = 3,908.64 × 2,415.84
  4. Step 4: Simplify right side
    2,837.76x = 9,442,648.86
  5. Step 5: Solve for x
    x = 9,442,648.86/2,837.76
  6. Step 6: Final answer
    x = 3,327.50

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