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Finding the Fourth Proportional to 2,685.78, 3,705.84 and 1,566.90

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Solution

The fourth proportional to 2,685.78, 3,705.84 and 1,566.90 is: 2,162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.78 : 3,705.84 = 1,566.90 : x
  2. Step 2: Convert to fraction form
    2,685.78/3,705.84 = 1,566.90/x
  3. Step 3: Cross multiply
    2,685.78x = 3,705.84 × 1,566.90
  4. Step 4: Simplify right side
    2,685.78x = 5,806,680.70
  5. Step 5: Solve for x
    x = 5,806,680.70/2,685.78
  6. Step 6: Final answer
    x = 2,162.01

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