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Finding the Fourth Proportional to 3,019.24, 4,166.82 and 1,777

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Solution

The fourth proportional to 3,019.24, 4,166.82 and 1,777 is: 2,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.24 : 4,166.82 = 1,777 : x
  2. Step 2: Convert to fraction form
    3,019.24/4,166.82 = 1,777/x
  3. Step 3: Cross multiply
    3,019.24x = 4,166.82 × 1,777
  4. Step 4: Simplify right side
    3,019.24x = 7,404,439.14
  5. Step 5: Solve for x
    x = 7,404,439.14/3,019.24
  6. Step 6: Final answer
    x = 2,452.42

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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.