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Finding the Fourth Proportional to 1,470.48, 2,207.46 and 1,162.56

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Solution

The fourth proportional to 1,470.48, 2,207.46 and 1,162.56 is: 1,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.48 : 2,207.46 = 1,162.56 : x
  2. Step 2: Convert to fraction form
    1,470.48/2,207.46 = 1,162.56/x
  3. Step 3: Cross multiply
    1,470.48x = 2,207.46 × 1,162.56
  4. Step 4: Simplify right side
    1,470.48x = 2,566,304.70
  5. Step 5: Solve for x
    x = 2,566,304.70/1,470.48
  6. Step 6: Final answer
    x = 1,745.22

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