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Finding the Fourth Proportional to 2,451.91, 3,676.71 and 890.81

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Solution

The fourth proportional to 2,451.91, 3,676.71 and 890.81 is: 1,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.91 : 3,676.71 = 890.81 : x
  2. Step 2: Convert to fraction form
    2,451.91/3,676.71 = 890.81/x
  3. Step 3: Cross multiply
    2,451.91x = 3,676.71 × 890.81
  4. Step 4: Simplify right side
    2,451.91x = 3,275,255.89
  5. Step 5: Solve for x
    x = 3,275,255.89/2,451.91
  6. Step 6: Final answer
    x = 1,335.80

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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.