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Finding the Fourth Proportional to 2,686.85, 4,019.92 and 1,646.63

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Solution

The fourth proportional to 2,686.85, 4,019.92 and 1,646.63 is: 2,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.85 : 4,019.92 = 1,646.63 : x
  2. Step 2: Convert to fraction form
    2,686.85/4,019.92 = 1,646.63/x
  3. Step 3: Cross multiply
    2,686.85x = 4,019.92 × 1,646.63
  4. Step 4: Simplify right side
    2,686.85x = 6,619,320.87
  5. Step 5: Solve for x
    x = 6,619,320.87/2,686.85
  6. Step 6: Final answer
    x = 2,463.60

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