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Finding the Fourth Proportional to 2,378.82, 3,567.32 and 1,646.18

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Solution

The fourth proportional to 2,378.82, 3,567.32 and 1,646.18 is: 2,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.82 : 3,567.32 = 1,646.18 : x
  2. Step 2: Convert to fraction form
    2,378.82/3,567.32 = 1,646.18/x
  3. Step 3: Cross multiply
    2,378.82x = 3,567.32 × 1,646.18
  4. Step 4: Simplify right side
    2,378.82x = 5,872,450.84
  5. Step 5: Solve for x
    x = 5,872,450.84/2,378.82
  6. Step 6: Final answer
    x = 2,468.64

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