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Finding the Fourth Proportional to 2,469.36, 3,703.96 and 826.72

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Solution

The fourth proportional to 2,469.36, 3,703.96 and 826.72 is: 1,240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.36 : 3,703.96 = 826.72 : x
  2. Step 2: Convert to fraction form
    2,469.36/3,703.96 = 826.72/x
  3. Step 3: Cross multiply
    2,469.36x = 3,703.96 × 826.72
  4. Step 4: Simplify right side
    2,469.36x = 3,062,137.81
  5. Step 5: Solve for x
    x = 3,062,137.81/2,469.36
  6. Step 6: Final answer
    x = 1,240.05

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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.