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Finding the Fourth Proportional to 1,508.76, 2,263.14 and 1,185.84

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Solution

The fourth proportional to 1,508.76, 2,263.14 and 1,185.84 is: 1,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.76 : 2,263.14 = 1,185.84 : x
  2. Step 2: Convert to fraction form
    1,508.76/2,263.14 = 1,185.84/x
  3. Step 3: Cross multiply
    1,508.76x = 2,263.14 × 1,185.84
  4. Step 4: Simplify right side
    1,508.76x = 2,683,721.94
  5. Step 5: Solve for x
    x = 2,683,721.94/1,508.76
  6. Step 6: Final answer
    x = 1,778.76

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