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Finding the Fourth Proportional to 2,145.92, 3,212.80 and 1,363.98

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Solution

The fourth proportional to 2,145.92, 3,212.80 and 1,363.98 is: 2,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.92 : 3,212.80 = 1,363.98 : x
  2. Step 2: Convert to fraction form
    2,145.92/3,212.80 = 1,363.98/x
  3. Step 3: Cross multiply
    2,145.92x = 3,212.80 × 1,363.98
  4. Step 4: Simplify right side
    2,145.92x = 4,382,194.94
  5. Step 5: Solve for x
    x = 4,382,194.94/2,145.92
  6. Step 6: Final answer
    x = 2,042.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.