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Finding the Fourth Proportional to 2,842.92, 4,261.43 and 2,060.98

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Solution

The fourth proportional to 2,842.92, 4,261.43 and 2,060.98 is: 3,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.92 : 4,261.43 = 2,060.98 : x
  2. Step 2: Convert to fraction form
    2,842.92/4,261.43 = 2,060.98/x
  3. Step 3: Cross multiply
    2,842.92x = 4,261.43 × 2,060.98
  4. Step 4: Simplify right side
    2,842.92x = 8,782,716.50
  5. Step 5: Solve for x
    x = 8,782,716.50/2,842.92
  6. Step 6: Final answer
    x = 3,089.33

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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.