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Finding the Fourth Proportional to 1,569.60, 2,169.90 and 1,554.84

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Solution

The fourth proportional to 1,569.60, 2,169.90 and 1,554.84 is: 2,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.60 : 2,169.90 = 1,554.84 : x
  2. Step 2: Convert to fraction form
    1,569.60/2,169.90 = 1,554.84/x
  3. Step 3: Cross multiply
    1,569.60x = 2,169.90 × 1,554.84
  4. Step 4: Simplify right side
    1,569.60x = 3,373,847.32
  5. Step 5: Solve for x
    x = 3,373,847.32/1,569.60
  6. Step 6: Final answer
    x = 2,149.49

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