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Finding the Fourth Proportional to 1,561.94, 2,344.74 and 1,097.82

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Solution

The fourth proportional to 1,561.94, 2,344.74 and 1,097.82 is: 1,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.94 : 2,344.74 = 1,097.82 : x
  2. Step 2: Convert to fraction form
    1,561.94/2,344.74 = 1,097.82/x
  3. Step 3: Cross multiply
    1,561.94x = 2,344.74 × 1,097.82
  4. Step 4: Simplify right side
    1,561.94x = 2,574,102.47
  5. Step 5: Solve for x
    x = 2,574,102.47/1,561.94
  6. Step 6: Final answer
    x = 1,648.02

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