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Finding the Fourth Proportional to 4,311.45, 6,467.04 and 1,191.64

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Solution

The fourth proportional to 4,311.45, 6,467.04 and 1,191.64 is: 1,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.45 : 6,467.04 = 1,191.64 : x
  2. Step 2: Convert to fraction form
    4,311.45/6,467.04 = 1,191.64/x
  3. Step 3: Cross multiply
    4,311.45x = 6,467.04 × 1,191.64
  4. Step 4: Simplify right side
    4,311.45x = 7,706,377.59
  5. Step 5: Solve for x
    x = 7,706,377.59/4,311.45
  6. Step 6: Final answer
    x = 1,787.42

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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.