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Finding the Fourth Proportional to 2,759.96, 4,124.17 and 2,098.20

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Solution

The fourth proportional to 2,759.96, 4,124.17 and 2,098.20 is: 3,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.96 : 4,124.17 = 2,098.20 : x
  2. Step 2: Convert to fraction form
    2,759.96/4,124.17 = 2,098.20/x
  3. Step 3: Cross multiply
    2,759.96x = 4,124.17 × 2,098.20
  4. Step 4: Simplify right side
    2,759.96x = 8,653,333.49
  5. Step 5: Solve for x
    x = 8,653,333.49/2,759.96
  6. Step 6: Final answer
    x = 3,135.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.