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Finding the Fourth Proportional to 1,588.80, 2,378.88 and 1,100.64

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Solution

The fourth proportional to 1,588.80, 2,378.88 and 1,100.64 is: 1,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.80 : 2,378.88 = 1,100.64 : x
  2. Step 2: Convert to fraction form
    1,588.80/2,378.88 = 1,100.64/x
  3. Step 3: Cross multiply
    1,588.80x = 2,378.88 × 1,100.64
  4. Step 4: Simplify right side
    1,588.80x = 2,618,290.48
  5. Step 5: Solve for x
    x = 2,618,290.48/1,588.80
  6. Step 6: Final answer
    x = 1,647.97

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