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Finding the Fourth Proportional to 2,611.59, 3,914.88 and 967.69

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Solution

The fourth proportional to 2,611.59, 3,914.88 and 967.69 is: 1,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.59 : 3,914.88 = 967.69 : x
  2. Step 2: Convert to fraction form
    2,611.59/3,914.88 = 967.69/x
  3. Step 3: Cross multiply
    2,611.59x = 3,914.88 × 967.69
  4. Step 4: Simplify right side
    2,611.59x = 3,788,390.23
  5. Step 5: Solve for x
    x = 3,788,390.23/2,611.59
  6. Step 6: Final answer
    x = 1,450.61

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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.