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Finding the Fourth Proportional to 1,665.42, 2,495.19 and 1,566.66

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Solution

The fourth proportional to 1,665.42, 2,495.19 and 1,566.66 is: 2,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.42 : 2,495.19 = 1,566.66 : x
  2. Step 2: Convert to fraction form
    1,665.42/2,495.19 = 1,566.66/x
  3. Step 3: Cross multiply
    1,665.42x = 2,495.19 × 1,566.66
  4. Step 4: Simplify right side
    1,665.42x = 3,909,114.37
  5. Step 5: Solve for x
    x = 3,909,114.37/1,665.42
  6. Step 6: Final answer
    x = 2,347.22

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