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Finding the Fourth Proportional to 3,178.19, 4,770.32 and 1,328.82

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Solution

The fourth proportional to 3,178.19, 4,770.32 and 1,328.82 is: 1,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.19 : 4,770.32 = 1,328.82 : x
  2. Step 2: Convert to fraction form
    3,178.19/4,770.32 = 1,328.82/x
  3. Step 3: Cross multiply
    3,178.19x = 4,770.32 × 1,328.82
  4. Step 4: Simplify right side
    3,178.19x = 6,338,896.62
  5. Step 5: Solve for x
    x = 6,338,896.62/3,178.19
  6. Step 6: Final answer
    x = 1,994.50

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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.