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Finding the Fourth Proportional to 2,096.99, 2,893.12 and 1,257.96

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Solution

The fourth proportional to 2,096.99, 2,893.12 and 1,257.96 is: 1,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.99 : 2,893.12 = 1,257.96 : x
  2. Step 2: Convert to fraction form
    2,096.99/2,893.12 = 1,257.96/x
  3. Step 3: Cross multiply
    2,096.99x = 2,893.12 × 1,257.96
  4. Step 4: Simplify right side
    2,096.99x = 3,639,436.94
  5. Step 5: Solve for x
    x = 3,639,436.94/2,096.99
  6. Step 6: Final answer
    x = 1,735.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.