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Finding the Fourth Proportional to 2,934.37, 4,402.24 and 854.41

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Solution

The fourth proportional to 2,934.37, 4,402.24 and 854.41 is: 1,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.37 : 4,402.24 = 854.41 : x
  2. Step 2: Convert to fraction form
    2,934.37/4,402.24 = 854.41/x
  3. Step 3: Cross multiply
    2,934.37x = 4,402.24 × 854.41
  4. Step 4: Simplify right side
    2,934.37x = 3,761,317.88
  5. Step 5: Solve for x
    x = 3,761,317.88/2,934.37
  6. Step 6: Final answer
    x = 1,281.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.