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Finding the Fourth Proportional to 2,819.54, 4,230.29 and 871.74

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Solution

The fourth proportional to 2,819.54, 4,230.29 and 871.74 is: 1,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.54 : 4,230.29 = 871.74 : x
  2. Step 2: Convert to fraction form
    2,819.54/4,230.29 = 871.74/x
  3. Step 3: Cross multiply
    2,819.54x = 4,230.29 × 871.74
  4. Step 4: Simplify right side
    2,819.54x = 3,687,696.05
  5. Step 5: Solve for x
    x = 3,687,696.05/2,819.54
  6. Step 6: Final answer
    x = 1,307.91

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Why These Related Problems?

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