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Finding the Fourth Proportional to 2,992.12, 4,129.32 and 2,059

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Solution

The fourth proportional to 2,992.12, 4,129.32 and 2,059 is: 2,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.12 : 4,129.32 = 2,059 : x
  2. Step 2: Convert to fraction form
    2,992.12/4,129.32 = 2,059/x
  3. Step 3: Cross multiply
    2,992.12x = 4,129.32 × 2,059
  4. Step 4: Simplify right side
    2,992.12x = 8,502,269.88
  5. Step 5: Solve for x
    x = 8,502,269.88/2,992.12
  6. Step 6: Final answer
    x = 2,841.55

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