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Finding the Fourth Proportional to 2,313.42, 3,192.92 and 1,819.82

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Solution

The fourth proportional to 2,313.42, 3,192.92 and 1,819.82 is: 2,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.42 : 3,192.92 = 1,819.82 : x
  2. Step 2: Convert to fraction form
    2,313.42/3,192.92 = 1,819.82/x
  3. Step 3: Cross multiply
    2,313.42x = 3,192.92 × 1,819.82
  4. Step 4: Simplify right side
    2,313.42x = 5,810,514.61
  5. Step 5: Solve for x
    x = 5,810,514.61/2,313.42
  6. Step 6: Final answer
    x = 2,511.66

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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.