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Finding the Fourth Proportional to 2,451.24, 3,676.32 and 891

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Solution

The fourth proportional to 2,451.24, 3,676.32 and 891 is: 1,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.24 : 3,676.32 = 891 : x
  2. Step 2: Convert to fraction form
    2,451.24/3,676.32 = 891/x
  3. Step 3: Cross multiply
    2,451.24x = 3,676.32 × 891
  4. Step 4: Simplify right side
    2,451.24x = 3,275,601.12
  5. Step 5: Solve for x
    x = 3,275,601.12/2,451.24
  6. Step 6: Final answer
    x = 1,336.30

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Why These Related Problems?

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