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Finding the Fourth Proportional to 1,566.46, 2,350.81 and 1,156.70

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Solution

The fourth proportional to 1,566.46, 2,350.81 and 1,156.70 is: 1,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.46 : 2,350.81 = 1,156.70 : x
  2. Step 2: Convert to fraction form
    1,566.46/2,350.81 = 1,156.70/x
  3. Step 3: Cross multiply
    1,566.46x = 2,350.81 × 1,156.70
  4. Step 4: Simplify right side
    1,566.46x = 2,719,169.52
  5. Step 5: Solve for x
    x = 2,719,169.52/1,566.46
  6. Step 6: Final answer
    x = 1,735.87

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