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Finding the Fourth Proportional to 3,145.10, 4,340.79 and 1,819.61

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Solution

The fourth proportional to 3,145.10, 4,340.79 and 1,819.61 is: 2,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.10 : 4,340.79 = 1,819.61 : x
  2. Step 2: Convert to fraction form
    3,145.10/4,340.79 = 1,819.61/x
  3. Step 3: Cross multiply
    3,145.10x = 4,340.79 × 1,819.61
  4. Step 4: Simplify right side
    3,145.10x = 7,898,544.89
  5. Step 5: Solve for x
    x = 7,898,544.89/3,145.10
  6. Step 6: Final answer
    x = 2,511.38

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Why These Related Problems?

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