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Finding the Fourth Proportional to 2,046.64, 3,070.04 and 1,162.84

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Solution

The fourth proportional to 2,046.64, 3,070.04 and 1,162.84 is: 1,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.64 : 3,070.04 = 1,162.84 : x
  2. Step 2: Convert to fraction form
    2,046.64/3,070.04 = 1,162.84/x
  3. Step 3: Cross multiply
    2,046.64x = 3,070.04 × 1,162.84
  4. Step 4: Simplify right side
    2,046.64x = 3,569,965.31
  5. Step 5: Solve for x
    x = 3,569,965.31/2,046.64
  6. Step 6: Final answer
    x = 1,744.31

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