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Finding the Fourth Proportional to 2,145.85, 3,212.71 and 1,363.92

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Solution

The fourth proportional to 2,145.85, 3,212.71 and 1,363.92 is: 2,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.85 : 3,212.71 = 1,363.92 : x
  2. Step 2: Convert to fraction form
    2,145.85/3,212.71 = 1,363.92/x
  3. Step 3: Cross multiply
    2,145.85x = 3,212.71 × 1,363.92
  4. Step 4: Simplify right side
    2,145.85x = 4,381,863.36
  5. Step 5: Solve for x
    x = 4,381,863.36/2,145.85
  6. Step 6: Final answer
    x = 2,042.02

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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.