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Finding the Fourth Proportional to 1,327.84, 1,989.68 and 1,002.96

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Solution

The fourth proportional to 1,327.84, 1,989.68 and 1,002.96 is: 1,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.84 : 1,989.68 = 1,002.96 : x
  2. Step 2: Convert to fraction form
    1,327.84/1,989.68 = 1,002.96/x
  3. Step 3: Cross multiply
    1,327.84x = 1,989.68 × 1,002.96
  4. Step 4: Simplify right side
    1,327.84x = 1,995,569.45
  5. Step 5: Solve for x
    x = 1,995,569.45/1,327.84
  6. Step 6: Final answer
    x = 1,502.87

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