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Finding the Fourth Proportional to 2,986.59, 4,471.43 and 2,282.99

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Solution

The fourth proportional to 2,986.59, 4,471.43 and 2,282.99 is: 3,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.59 : 4,471.43 = 2,282.99 : x
  2. Step 2: Convert to fraction form
    2,986.59/4,471.43 = 2,282.99/x
  3. Step 3: Cross multiply
    2,986.59x = 4,471.43 × 2,282.99
  4. Step 4: Simplify right side
    2,986.59x = 10,208,229.98
  5. Step 5: Solve for x
    x = 10,208,229.98/2,986.59
  6. Step 6: Final answer
    x = 3,418.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.