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Finding the Fourth Proportional to 2,611.34, 3,914.12 and 1,150.28

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Solution

The fourth proportional to 2,611.34, 3,914.12 and 1,150.28 is: 1,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.34 : 3,914.12 = 1,150.28 : x
  2. Step 2: Convert to fraction form
    2,611.34/3,914.12 = 1,150.28/x
  3. Step 3: Cross multiply
    2,611.34x = 3,914.12 × 1,150.28
  4. Step 4: Simplify right side
    2,611.34x = 4,502,333.95
  5. Step 5: Solve for x
    x = 4,502,333.95/2,611.34
  6. Step 6: Final answer
    x = 1,724.15

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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.