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Finding the Fourth Proportional to 2,043.77, 3,065.62 and 1,164.40

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Solution

The fourth proportional to 2,043.77, 3,065.62 and 1,164.40 is: 1,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.77 : 3,065.62 = 1,164.40 : x
  2. Step 2: Convert to fraction form
    2,043.77/3,065.62 = 1,164.40/x
  3. Step 3: Cross multiply
    2,043.77x = 3,065.62 × 1,164.40
  4. Step 4: Simplify right side
    2,043.77x = 3,569,594.36
  5. Step 5: Solve for x
    x = 3,569,594.36/2,043.77
  6. Step 6: Final answer
    x = 1,746.57

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