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Finding the Fourth Proportional to 4,467.35, 6,701.06 and 1,180.42

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Solution

The fourth proportional to 4,467.35, 6,701.06 and 1,180.42 is: 1,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.35 : 6,701.06 = 1,180.42 : x
  2. Step 2: Convert to fraction form
    4,467.35/6,701.06 = 1,180.42/x
  3. Step 3: Cross multiply
    4,467.35x = 6,701.06 × 1,180.42
  4. Step 4: Simplify right side
    4,467.35x = 7,910,065.25
  5. Step 5: Solve for x
    x = 7,910,065.25/4,467.35
  6. Step 6: Final answer
    x = 1,770.64

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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.