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Finding the Fourth Proportional to 2,614.40, 3,918.72 and 1,585.28

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Solution

The fourth proportional to 2,614.40, 3,918.72 and 1,585.28 is: 2,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.40 : 3,918.72 = 1,585.28 : x
  2. Step 2: Convert to fraction form
    2,614.40/3,918.72 = 1,585.28/x
  3. Step 3: Cross multiply
    2,614.40x = 3,918.72 × 1,585.28
  4. Step 4: Simplify right side
    2,614.40x = 6,212,268.44
  5. Step 5: Solve for x
    x = 6,212,268.44/2,614.40
  6. Step 6: Final answer
    x = 2,376.17

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