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Finding the Fourth Proportional to 1,648.93, 2,468.53 and 1,577.65

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Solution

The fourth proportional to 1,648.93, 2,468.53 and 1,577.65 is: 2,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.93 : 2,468.53 = 1,577.65 : x
  2. Step 2: Convert to fraction form
    1,648.93/2,468.53 = 1,577.65/x
  3. Step 3: Cross multiply
    1,648.93x = 2,468.53 × 1,577.65
  4. Step 4: Simplify right side
    1,648.93x = 3,894,476.35
  5. Step 5: Solve for x
    x = 3,894,476.35/1,648.93
  6. Step 6: Final answer
    x = 2,361.82

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