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Finding the Fourth Proportional to 2,803.34, 3,863.50 and 2,245.66

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Solution

The fourth proportional to 2,803.34, 3,863.50 and 2,245.66 is: 3,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.34 : 3,863.50 = 2,245.66 : x
  2. Step 2: Convert to fraction form
    2,803.34/3,863.50 = 2,245.66/x
  3. Step 3: Cross multiply
    2,803.34x = 3,863.50 × 2,245.66
  4. Step 4: Simplify right side
    2,803.34x = 8,676,092.14
  5. Step 5: Solve for x
    x = 8,676,092.14/2,803.34
  6. Step 6: Final answer
    x = 3,094.91

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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.