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Finding the Fourth Proportional to 1,398.77, 1,928.00 and 1,162.25

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Solution

The fourth proportional to 1,398.77, 1,928.00 and 1,162.25 is: 1,601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.77 : 1,928.00 = 1,162.25 : x
  2. Step 2: Convert to fraction form
    1,398.77/1,928.00 = 1,162.25/x
  3. Step 3: Cross multiply
    1,398.77x = 1,928.00 × 1,162.25
  4. Step 4: Simplify right side
    1,398.77x = 2,240,818.50
  5. Step 5: Solve for x
    x = 2,240,818.50/1,398.77
  6. Step 6: Final answer
    x = 1,601.99

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