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Finding the Fourth Proportional to 2,804.80, 4,207.20 and 1,164.55

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Solution

The fourth proportional to 2,804.80, 4,207.20 and 1,164.55 is: 1,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.80 : 4,207.20 = 1,164.55 : x
  2. Step 2: Convert to fraction form
    2,804.80/4,207.20 = 1,164.55/x
  3. Step 3: Cross multiply
    2,804.80x = 4,207.20 × 1,164.55
  4. Step 4: Simplify right side
    2,804.80x = 4,899,494.76
  5. Step 5: Solve for x
    x = 4,899,494.76/2,804.80
  6. Step 6: Final answer
    x = 1,746.83

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