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Finding the Fourth Proportional to 1,584.21, 2,377.33 and 854.29

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Solution

The fourth proportional to 1,584.21, 2,377.33 and 854.29 is: 1,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.21 : 2,377.33 = 854.29 : x
  2. Step 2: Convert to fraction form
    1,584.21/2,377.33 = 854.29/x
  3. Step 3: Cross multiply
    1,584.21x = 2,377.33 × 854.29
  4. Step 4: Simplify right side
    1,584.21x = 2,030,929.25
  5. Step 5: Solve for x
    x = 2,030,929.25/1,584.21
  6. Step 6: Final answer
    x = 1,281.98

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