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Finding the Fourth Proportional to 1,561.44, 2,341.14 and 1,096.63

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Solution

The fourth proportional to 1,561.44, 2,341.14 and 1,096.63 is: 1,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.44 : 2,341.14 = 1,096.63 : x
  2. Step 2: Convert to fraction form
    1,561.44/2,341.14 = 1,096.63/x
  3. Step 3: Cross multiply
    1,561.44x = 2,341.14 × 1,096.63
  4. Step 4: Simplify right side
    1,561.44x = 2,567,364.36
  5. Step 5: Solve for x
    x = 2,567,364.36/1,561.44
  6. Step 6: Final answer
    x = 1,644.23

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