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Finding the Fourth Proportional to 2,573.70, 3,841.90 and 2,262.30

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Solution

The fourth proportional to 2,573.70, 3,841.90 and 2,262.30 is: 3,377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.70 : 3,841.90 = 2,262.30 : x
  2. Step 2: Convert to fraction form
    2,573.70/3,841.90 = 2,262.30/x
  3. Step 3: Cross multiply
    2,573.70x = 3,841.90 × 2,262.30
  4. Step 4: Simplify right side
    2,573.70x = 8,691,530.37
  5. Step 5: Solve for x
    x = 8,691,530.37/2,573.70
  6. Step 6: Final answer
    x = 3,377.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.