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Finding the Fourth Proportional to 2,984.07, 4,119.35 and 2,611.47

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Solution

The fourth proportional to 2,984.07, 4,119.35 and 2,611.47 is: 3,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.07 : 4,119.35 = 2,611.47 : x
  2. Step 2: Convert to fraction form
    2,984.07/4,119.35 = 2,611.47/x
  3. Step 3: Cross multiply
    2,984.07x = 4,119.35 × 2,611.47
  4. Step 4: Simplify right side
    2,984.07x = 10,757,545.89
  5. Step 5: Solve for x
    x = 10,757,545.89/2,984.07
  6. Step 6: Final answer
    x = 3,604.99

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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.