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Finding the Fourth Proportional to 4,467.36, 6,700.88 and 1,180.46

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Solution

The fourth proportional to 4,467.36, 6,700.88 and 1,180.46 is: 1,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.36 : 6,700.88 = 1,180.46 : x
  2. Step 2: Convert to fraction form
    4,467.36/6,700.88 = 1,180.46/x
  3. Step 3: Cross multiply
    4,467.36x = 6,700.88 × 1,180.46
  4. Step 4: Simplify right side
    4,467.36x = 7,910,120.80
  5. Step 5: Solve for x
    x = 7,910,120.80/4,467.36
  6. Step 6: Final answer
    x = 1,770.65

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