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Finding the Fourth Proportional to 4,611.80, 6,924.90 and 2,667.80

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Solution

The fourth proportional to 4,611.80, 6,924.90 and 2,667.80 is: 4,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.80 : 6,924.90 = 2,667.80 : x
  2. Step 2: Convert to fraction form
    4,611.80/6,924.90 = 2,667.80/x
  3. Step 3: Cross multiply
    4,611.80x = 6,924.90 × 2,667.80
  4. Step 4: Simplify right side
    4,611.80x = 18,474,248.22
  5. Step 5: Solve for x
    x = 18,474,248.22/4,611.80
  6. Step 6: Final answer
    x = 4,005.87

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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.