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Finding the Fourth Proportional to 4,819.30, 7,232.19 and 1,699.30

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Solution

The fourth proportional to 4,819.30, 7,232.19 and 1,699.30 is: 2,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.30 : 7,232.19 = 1,699.30 : x
  2. Step 2: Convert to fraction form
    4,819.30/7,232.19 = 1,699.30/x
  3. Step 3: Cross multiply
    4,819.30x = 7,232.19 × 1,699.30
  4. Step 4: Simplify right side
    4,819.30x = 12,289,660.47
  5. Step 5: Solve for x
    x = 12,289,660.47/4,819.30
  6. Step 6: Final answer
    x = 2,550.09

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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.