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Finding the Fourth Proportional to 1,569.80, 2,354.70 and 1,384.20

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Solution

The fourth proportional to 1,569.80, 2,354.70 and 1,384.20 is: 2,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.80 : 2,354.70 = 1,384.20 : x
  2. Step 2: Convert to fraction form
    1,569.80/2,354.70 = 1,384.20/x
  3. Step 3: Cross multiply
    1,569.80x = 2,354.70 × 1,384.20
  4. Step 4: Simplify right side
    1,569.80x = 3,259,375.74
  5. Step 5: Solve for x
    x = 3,259,375.74/1,569.80
  6. Step 6: Final answer
    x = 2,076.30

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