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Finding the Fourth Proportional to 1,978.69, 2,966.28 and 745.75

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Solution

The fourth proportional to 1,978.69, 2,966.28 and 745.75 is: 1,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.69 : 2,966.28 = 745.75 : x
  2. Step 2: Convert to fraction form
    1,978.69/2,966.28 = 745.75/x
  3. Step 3: Cross multiply
    1,978.69x = 2,966.28 × 745.75
  4. Step 4: Simplify right side
    1,978.69x = 2,212,103.31
  5. Step 5: Solve for x
    x = 2,212,103.31/1,978.69
  6. Step 6: Final answer
    x = 1,117.96

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