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Finding the Fourth Proportional to 2,456.58, 3,682.56 and 896.22

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Solution

The fourth proportional to 2,456.58, 3,682.56 and 896.22 is: 1,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.58 : 3,682.56 = 896.22 : x
  2. Step 2: Convert to fraction form
    2,456.58/3,682.56 = 896.22/x
  3. Step 3: Cross multiply
    2,456.58x = 3,682.56 × 896.22
  4. Step 4: Simplify right side
    2,456.58x = 3,300,383.92
  5. Step 5: Solve for x
    x = 3,300,383.92/2,456.58
  6. Step 6: Final answer
    x = 1,343.49

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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.