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Finding the Fourth Proportional to 1,648.68, 2,470.92 and 1,605.61

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Solution

The fourth proportional to 1,648.68, 2,470.92 and 1,605.61 is: 2,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.68 : 2,470.92 = 1,605.61 : x
  2. Step 2: Convert to fraction form
    1,648.68/2,470.92 = 1,605.61/x
  3. Step 3: Cross multiply
    1,648.68x = 2,470.92 × 1,605.61
  4. Step 4: Simplify right side
    1,648.68x = 3,967,333.86
  5. Step 5: Solve for x
    x = 3,967,333.86/1,648.68
  6. Step 6: Final answer
    x = 2,406.37

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