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Finding the Fourth Proportional to 2,557.92, 3,836.64 and 827.68

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Solution

The fourth proportional to 2,557.92, 3,836.64 and 827.68 is: 1,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.92 : 3,836.64 = 827.68 : x
  2. Step 2: Convert to fraction form
    2,557.92/3,836.64 = 827.68/x
  3. Step 3: Cross multiply
    2,557.92x = 3,836.64 × 827.68
  4. Step 4: Simplify right side
    2,557.92x = 3,175,510.20
  5. Step 5: Solve for x
    x = 3,175,510.20/2,557.92
  6. Step 6: Final answer
    x = 1,241.44

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1.5x scale

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.