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Finding the Fourth Proportional to 2,534.41, 3,801.84 and 890.97

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Solution

The fourth proportional to 2,534.41, 3,801.84 and 890.97 is: 1,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.41 : 3,801.84 = 890.97 : x
  2. Step 2: Convert to fraction form
    2,534.41/3,801.84 = 890.97/x
  3. Step 3: Cross multiply
    2,534.41x = 3,801.84 × 890.97
  4. Step 4: Simplify right side
    2,534.41x = 3,387,327.58
  5. Step 5: Solve for x
    x = 3,387,327.58/2,534.41
  6. Step 6: Final answer
    x = 1,336.54

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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.