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Finding the Fourth Proportional to 1,566.80, 2,351.91 and 1,154.66

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Solution

The fourth proportional to 1,566.80, 2,351.91 and 1,154.66 is: 1,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.80 : 2,351.91 = 1,154.66 : x
  2. Step 2: Convert to fraction form
    1,566.80/2,351.91 = 1,154.66/x
  3. Step 3: Cross multiply
    1,566.80x = 2,351.91 × 1,154.66
  4. Step 4: Simplify right side
    1,566.80x = 2,715,656.40
  5. Step 5: Solve for x
    x = 2,715,656.40/1,566.80
  6. Step 6: Final answer
    x = 1,733.25

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