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Finding the Fourth Proportional to 3,178.98, 4,764.29 and 1,329.01

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Solution

The fourth proportional to 3,178.98, 4,764.29 and 1,329.01 is: 1,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.98 : 4,764.29 = 1,329.01 : x
  2. Step 2: Convert to fraction form
    3,178.98/4,764.29 = 1,329.01/x
  3. Step 3: Cross multiply
    3,178.98x = 4,764.29 × 1,329.01
  4. Step 4: Simplify right side
    3,178.98x = 6,331,770.50
  5. Step 5: Solve for x
    x = 6,331,770.50/3,178.98
  6. Step 6: Final answer
    x = 1,991.76

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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.