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Finding the Fourth Proportional to 1,380.02, 2,065.17 and 1,052.78

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Solution

The fourth proportional to 1,380.02, 2,065.17 and 1,052.78 is: 1,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.02 : 2,065.17 = 1,052.78 : x
  2. Step 2: Convert to fraction form
    1,380.02/2,065.17 = 1,052.78/x
  3. Step 3: Cross multiply
    1,380.02x = 2,065.17 × 1,052.78
  4. Step 4: Simplify right side
    1,380.02x = 2,174,169.67
  5. Step 5: Solve for x
    x = 2,174,169.67/1,380.02
  6. Step 6: Final answer
    x = 1,575.46

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