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Finding the Fourth Proportional to 1,764.61, 2,434.05 and 1,166.93

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Solution

The fourth proportional to 1,764.61, 2,434.05 and 1,166.93 is: 1,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.61 : 2,434.05 = 1,166.93 : x
  2. Step 2: Convert to fraction form
    1,764.61/2,434.05 = 1,166.93/x
  3. Step 3: Cross multiply
    1,764.61x = 2,434.05 × 1,166.93
  4. Step 4: Simplify right side
    1,764.61x = 2,840,365.97
  5. Step 5: Solve for x
    x = 2,840,365.97/1,764.61
  6. Step 6: Final answer
    x = 1,609.63

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