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Finding the Fourth Proportional to 1,566.53, 2,347.07 and 1,102.13

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Solution

The fourth proportional to 1,566.53, 2,347.07 and 1,102.13 is: 1,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.53 : 2,347.07 = 1,102.13 : x
  2. Step 2: Convert to fraction form
    1,566.53/2,347.07 = 1,102.13/x
  3. Step 3: Cross multiply
    1,566.53x = 2,347.07 × 1,102.13
  4. Step 4: Simplify right side
    1,566.53x = 2,586,759.01
  5. Step 5: Solve for x
    x = 2,586,759.01/1,566.53
  6. Step 6: Final answer
    x = 1,651.27

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