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Finding the Fourth Proportional to 2,990.61, 4,493.88 and 1,604.97

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Solution

The fourth proportional to 2,990.61, 4,493.88 and 1,604.97 is: 2,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.61 : 4,493.88 = 1,604.97 : x
  2. Step 2: Convert to fraction form
    2,990.61/4,493.88 = 1,604.97/x
  3. Step 3: Cross multiply
    2,990.61x = 4,493.88 × 1,604.97
  4. Step 4: Simplify right side
    2,990.61x = 7,212,542.58
  5. Step 5: Solve for x
    x = 7,212,542.58/2,990.61
  6. Step 6: Final answer
    x = 2,411.73

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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.