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Finding the Fourth Proportional to 2,561.76, 3,848.40 and 1,406.88

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Solution

The fourth proportional to 2,561.76, 3,848.40 and 1,406.88 is: 2,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.76 : 3,848.40 = 1,406.88 : x
  2. Step 2: Convert to fraction form
    2,561.76/3,848.40 = 1,406.88/x
  3. Step 3: Cross multiply
    2,561.76x = 3,848.40 × 1,406.88
  4. Step 4: Simplify right side
    2,561.76x = 5,414,236.99
  5. Step 5: Solve for x
    x = 5,414,236.99/2,561.76
  6. Step 6: Final answer
    x = 2,113.48

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