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Finding the Fourth Proportional to 2,298.56, 3,174.91 and 1,999.21

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Solution

The fourth proportional to 2,298.56, 3,174.91 and 1,999.21 is: 2,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.56 : 3,174.91 = 1,999.21 : x
  2. Step 2: Convert to fraction form
    2,298.56/3,174.91 = 1,999.21/x
  3. Step 3: Cross multiply
    2,298.56x = 3,174.91 × 1,999.21
  4. Step 4: Simplify right side
    2,298.56x = 6,347,311.82
  5. Step 5: Solve for x
    x = 6,347,311.82/2,298.56
  6. Step 6: Final answer
    x = 2,761.44

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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.