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Finding the Fourth Proportional to 2,611.74, 3,915.99 and 1,378.38

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Solution

The fourth proportional to 2,611.74, 3,915.99 and 1,378.38 is: 2,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.74 : 3,915.99 = 1,378.38 : x
  2. Step 2: Convert to fraction form
    2,611.74/3,915.99 = 1,378.38/x
  3. Step 3: Cross multiply
    2,611.74x = 3,915.99 × 1,378.38
  4. Step 4: Simplify right side
    2,611.74x = 5,397,722.30
  5. Step 5: Solve for x
    x = 5,397,722.30/2,611.74
  6. Step 6: Final answer
    x = 2,066.72

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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.