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Finding the Fourth Proportional to 2,617.05, 3,611.46 and 1,438.05

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Solution

The fourth proportional to 2,617.05, 3,611.46 and 1,438.05 is: 1,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.05 : 3,611.46 = 1,438.05 : x
  2. Step 2: Convert to fraction form
    2,617.05/3,611.46 = 1,438.05/x
  3. Step 3: Cross multiply
    2,617.05x = 3,611.46 × 1,438.05
  4. Step 4: Simplify right side
    2,617.05x = 5,193,460.05
  5. Step 5: Solve for x
    x = 5,193,460.05/2,617.05
  6. Step 6: Final answer
    x = 1,984.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.