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Finding the Fourth Proportional to 1,581.78, 2,377.98 and 1,275.78

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Solution

The fourth proportional to 1,581.78, 2,377.98 and 1,275.78 is: 1,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.78 : 2,377.98 = 1,275.78 : x
  2. Step 2: Convert to fraction form
    1,581.78/2,377.98 = 1,275.78/x
  3. Step 3: Cross multiply
    1,581.78x = 2,377.98 × 1,275.78
  4. Step 4: Simplify right side
    1,581.78x = 3,033,779.32
  5. Step 5: Solve for x
    x = 3,033,779.32/1,581.78
  6. Step 6: Final answer
    x = 1,917.95

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