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Finding the Fourth Proportional to 1,584.77, 2,377.15 and 858.94

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Solution

The fourth proportional to 1,584.77, 2,377.15 and 858.94 is: 1,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.77 : 2,377.15 = 858.94 : x
  2. Step 2: Convert to fraction form
    1,584.77/2,377.15 = 858.94/x
  3. Step 3: Cross multiply
    1,584.77x = 2,377.15 × 858.94
  4. Step 4: Simplify right side
    1,584.77x = 2,041,821.13
  5. Step 5: Solve for x
    x = 2,041,821.13/1,584.77
  6. Step 6: Final answer
    x = 1,288.41

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