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Finding the Fourth Proportional to 1,566.96, 2,347.56 and 1,221.36

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Solution

The fourth proportional to 1,566.96, 2,347.56 and 1,221.36 is: 1,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.96 : 2,347.56 = 1,221.36 : x
  2. Step 2: Convert to fraction form
    1,566.96/2,347.56 = 1,221.36/x
  3. Step 3: Cross multiply
    1,566.96x = 2,347.56 × 1,221.36
  4. Step 4: Simplify right side
    1,566.96x = 2,867,215.88
  5. Step 5: Solve for x
    x = 2,867,215.88/1,566.96
  6. Step 6: Final answer
    x = 1,829.80

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