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Finding the Fourth Proportional to 2,611.06, 3,916.49 and 967.93

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Solution

The fourth proportional to 2,611.06, 3,916.49 and 967.93 is: 1,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.06 : 3,916.49 = 967.93 : x
  2. Step 2: Convert to fraction form
    2,611.06/3,916.49 = 967.93/x
  3. Step 3: Cross multiply
    2,611.06x = 3,916.49 × 967.93
  4. Step 4: Simplify right side
    2,611.06x = 3,790,873.53
  5. Step 5: Solve for x
    x = 3,790,873.53/2,611.06
  6. Step 6: Final answer
    x = 1,451.85

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Why These Related Problems?

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