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Finding the Fourth Proportional to 1,584.81, 2,377.67 and 1,387.98

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Solution

The fourth proportional to 1,584.81, 2,377.67 and 1,387.98 is: 2,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.81 : 2,377.67 = 1,387.98 : x
  2. Step 2: Convert to fraction form
    1,584.81/2,377.67 = 1,387.98/x
  3. Step 3: Cross multiply
    1,584.81x = 2,377.67 × 1,387.98
  4. Step 4: Simplify right side
    1,584.81x = 3,300,158.41
  5. Step 5: Solve for x
    x = 3,300,158.41/1,584.81
  6. Step 6: Final answer
    x = 2,082.37

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