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Finding the Fourth Proportional to 1,281.92, 1,919.76 and 1,061.20

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Solution

The fourth proportional to 1,281.92, 1,919.76 and 1,061.20 is: 1,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.92 : 1,919.76 = 1,061.20 : x
  2. Step 2: Convert to fraction form
    1,281.92/1,919.76 = 1,061.20/x
  3. Step 3: Cross multiply
    1,281.92x = 1,919.76 × 1,061.20
  4. Step 4: Simplify right side
    1,281.92x = 2,037,249.31
  5. Step 5: Solve for x
    x = 2,037,249.31/1,281.92
  6. Step 6: Final answer
    x = 1,589.22

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