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Finding the Fourth Proportional to 2,975.22, 4,105.80 and 1,648.93

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Solution

The fourth proportional to 2,975.22, 4,105.80 and 1,648.93 is: 2,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.22 : 4,105.80 = 1,648.93 : x
  2. Step 2: Convert to fraction form
    2,975.22/4,105.80 = 1,648.93/x
  3. Step 3: Cross multiply
    2,975.22x = 4,105.80 × 1,648.93
  4. Step 4: Simplify right side
    2,975.22x = 6,770,176.79
  5. Step 5: Solve for x
    x = 6,770,176.79/2,975.22
  6. Step 6: Final answer
    x = 2,275.52

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