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Finding the Fourth Proportional to 1,566.55, 2,352.53 and 1,107.55

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Solution

The fourth proportional to 1,566.55, 2,352.53 and 1,107.55 is: 1,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.55 : 2,352.53 = 1,107.55 : x
  2. Step 2: Convert to fraction form
    1,566.55/2,352.53 = 1,107.55/x
  3. Step 3: Cross multiply
    1,566.55x = 2,352.53 × 1,107.55
  4. Step 4: Simplify right side
    1,566.55x = 2,605,539.06
  5. Step 5: Solve for x
    x = 2,605,539.06/1,566.55
  6. Step 6: Final answer
    x = 1,663.23

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