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Finding the Fourth Proportional to 2,742.32, 4,123.92 and 2,188.28

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Solution

The fourth proportional to 2,742.32, 4,123.92 and 2,188.28 is: 3,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.32 : 4,123.92 = 2,188.28 : x
  2. Step 2: Convert to fraction form
    2,742.32/4,123.92 = 2,188.28/x
  3. Step 3: Cross multiply
    2,742.32x = 4,123.92 × 2,188.28
  4. Step 4: Simplify right side
    2,742.32x = 9,024,291.66
  5. Step 5: Solve for x
    x = 9,024,291.66/2,742.32
  6. Step 6: Final answer
    x = 3,290.75

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