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Finding the Fourth Proportional to 1,599.54, 2,393.61 and 1,106.05

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Solution

The fourth proportional to 1,599.54, 2,393.61 and 1,106.05 is: 1,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.54 : 2,393.61 = 1,106.05 : x
  2. Step 2: Convert to fraction form
    1,599.54/2,393.61 = 1,106.05/x
  3. Step 3: Cross multiply
    1,599.54x = 2,393.61 × 1,106.05
  4. Step 4: Simplify right side
    1,599.54x = 2,647,443.59
  5. Step 5: Solve for x
    x = 2,647,443.59/1,599.54
  6. Step 6: Final answer
    x = 1,655.13

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