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Finding the Fourth Proportional to 1,762.98, 2,642.56 and 1,147.12

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Solution

The fourth proportional to 1,762.98, 2,642.56 and 1,147.12 is: 1,719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.98 : 2,642.56 = 1,147.12 : x
  2. Step 2: Convert to fraction form
    1,762.98/2,642.56 = 1,147.12/x
  3. Step 3: Cross multiply
    1,762.98x = 2,642.56 × 1,147.12
  4. Step 4: Simplify right side
    1,762.98x = 3,031,327.69
  5. Step 5: Solve for x
    x = 3,031,327.69/1,762.98
  6. Step 6: Final answer
    x = 1,719.44

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