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Finding the Fourth Proportional to 1,566.41, 2,350.76 and 1,156.65

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Solution

The fourth proportional to 1,566.41, 2,350.76 and 1,156.65 is: 1,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.41 : 2,350.76 = 1,156.65 : x
  2. Step 2: Convert to fraction form
    1,566.41/2,350.76 = 1,156.65/x
  3. Step 3: Cross multiply
    1,566.41x = 2,350.76 × 1,156.65
  4. Step 4: Simplify right side
    1,566.41x = 2,719,006.55
  5. Step 5: Solve for x
    x = 2,719,006.55/1,566.41
  6. Step 6: Final answer
    x = 1,735.82

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