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Finding the Fourth Proportional to 1,978.42, 2,733.78 and 1,417.96

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Solution

The fourth proportional to 1,978.42, 2,733.78 and 1,417.96 is: 1,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.42 : 2,733.78 = 1,417.96 : x
  2. Step 2: Convert to fraction form
    1,978.42/2,733.78 = 1,417.96/x
  3. Step 3: Cross multiply
    1,978.42x = 2,733.78 × 1,417.96
  4. Step 4: Simplify right side
    1,978.42x = 3,876,390.69
  5. Step 5: Solve for x
    x = 3,876,390.69/1,978.42
  6. Step 6: Final answer
    x = 1,959.34

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