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Finding the Fourth Proportional to 3,109.78, 4,663.86 and 1,465.89

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Solution

The fourth proportional to 3,109.78, 4,663.86 and 1,465.89 is: 2,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.78 : 4,663.86 = 1,465.89 : x
  2. Step 2: Convert to fraction form
    3,109.78/4,663.86 = 1,465.89/x
  3. Step 3: Cross multiply
    3,109.78x = 4,663.86 × 1,465.89
  4. Step 4: Simplify right side
    3,109.78x = 6,836,705.74
  5. Step 5: Solve for x
    x = 6,836,705.74/3,109.78
  6. Step 6: Final answer
    x = 2,198.45

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