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Finding the Fourth Proportional to 1,583.40, 2,376.12 and 1,463.16

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Solution

The fourth proportional to 1,583.40, 2,376.12 and 1,463.16 is: 2,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.40 : 2,376.12 = 1,463.16 : x
  2. Step 2: Convert to fraction form
    1,583.40/2,376.12 = 1,463.16/x
  3. Step 3: Cross multiply
    1,583.40x = 2,376.12 × 1,463.16
  4. Step 4: Simplify right side
    1,583.40x = 3,476,643.74
  5. Step 5: Solve for x
    x = 3,476,643.74/1,583.40
  6. Step 6: Final answer
    x = 2,195.68

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