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Finding the Fourth Proportional to 2,530.85, 3,791.41 and 1,663.34

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Solution

The fourth proportional to 2,530.85, 3,791.41 and 1,663.34 is: 2,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.85 : 3,791.41 = 1,663.34 : x
  2. Step 2: Convert to fraction form
    2,530.85/3,791.41 = 1,663.34/x
  3. Step 3: Cross multiply
    2,530.85x = 3,791.41 × 1,663.34
  4. Step 4: Simplify right side
    2,530.85x = 6,306,380.79
  5. Step 5: Solve for x
    x = 6,306,380.79/2,530.85
  6. Step 6: Final answer
    x = 2,491.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.