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Finding the Fourth Proportional to 3,179.69, 4,768.69 and 1,329.74

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Solution

The fourth proportional to 3,179.69, 4,768.69 and 1,329.74 is: 1,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.69 : 4,768.69 = 1,329.74 : x
  2. Step 2: Convert to fraction form
    3,179.69/4,768.69 = 1,329.74/x
  3. Step 3: Cross multiply
    3,179.69x = 4,768.69 × 1,329.74
  4. Step 4: Simplify right side
    3,179.69x = 6,341,118.85
  5. Step 5: Solve for x
    x = 6,341,118.85/3,179.69
  6. Step 6: Final answer
    x = 1,994.26

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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.