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Finding the Fourth Proportional to 1,415.80, 2,121.64 and 1,319.44

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Solution

The fourth proportional to 1,415.80, 2,121.64 and 1,319.44 is: 1,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.80 : 2,121.64 = 1,319.44 : x
  2. Step 2: Convert to fraction form
    1,415.80/2,121.64 = 1,319.44/x
  3. Step 3: Cross multiply
    1,415.80x = 2,121.64 × 1,319.44
  4. Step 4: Simplify right side
    1,415.80x = 2,799,376.68
  5. Step 5: Solve for x
    x = 2,799,376.68/1,415.80
  6. Step 6: Final answer
    x = 1,977.24

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