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Finding the Fourth Proportional to 2,611.88, 3,915.28 and 967.96

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Solution

The fourth proportional to 2,611.88, 3,915.28 and 967.96 is: 1,451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.88 : 3,915.28 = 967.96 : x
  2. Step 2: Convert to fraction form
    2,611.88/3,915.28 = 967.96/x
  3. Step 3: Cross multiply
    2,611.88x = 3,915.28 × 967.96
  4. Step 4: Simplify right side
    2,611.88x = 3,789,834.43
  5. Step 5: Solve for x
    x = 3,789,834.43/2,611.88
  6. Step 6: Final answer
    x = 1,451.00

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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.