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Finding the Fourth Proportional to 1,566.56, 2,347.60 and 1,272.80

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Solution

The fourth proportional to 1,566.56, 2,347.60 and 1,272.80 is: 1,907.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.56 : 2,347.60 = 1,272.80 : x
  2. Step 2: Convert to fraction form
    1,566.56/2,347.60 = 1,272.80/x
  3. Step 3: Cross multiply
    1,566.56x = 2,347.60 × 1,272.80
  4. Step 4: Simplify right side
    1,566.56x = 2,988,025.28
  5. Step 5: Solve for x
    x = 2,988,025.28/1,566.56
  6. Step 6: Final answer
    x = 1,907.38

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