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Finding the Fourth Proportional to 2,885.46, 3,983.19 and 2,245.95

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Solution

The fourth proportional to 2,885.46, 3,983.19 and 2,245.95 is: 3,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.46 : 3,983.19 = 2,245.95 : x
  2. Step 2: Convert to fraction form
    2,885.46/3,983.19 = 2,245.95/x
  3. Step 3: Cross multiply
    2,885.46x = 3,983.19 × 2,245.95
  4. Step 4: Simplify right side
    2,885.46x = 8,946,045.58
  5. Step 5: Solve for x
    x = 8,946,045.58/2,885.46
  6. Step 6: Final answer
    x = 3,100.39

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Why These Related Problems?

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