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Finding the Fourth Proportional to 1,399.86, 2,100.42 and 534.78

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Solution

The fourth proportional to 1,399.86, 2,100.42 and 534.78 is: 802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.86 : 2,100.42 = 534.78 : x
  2. Step 2: Convert to fraction form
    1,399.86/2,100.42 = 534.78/x
  3. Step 3: Cross multiply
    1,399.86x = 2,100.42 × 534.78
  4. Step 4: Simplify right side
    1,399.86x = 1,123,262.61
  5. Step 5: Solve for x
    x = 1,123,262.61/1,399.86
  6. Step 6: Final answer
    x = 802.41

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