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Finding the Fourth Proportional to 2,777.82, 4,166 and 829.56

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Solution

The fourth proportional to 2,777.82, 4,166 and 829.56 is: 1,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.82 : 4,166 = 829.56 : x
  2. Step 2: Convert to fraction form
    2,777.82/4,166 = 829.56/x
  3. Step 3: Cross multiply
    2,777.82x = 4,166 × 829.56
  4. Step 4: Simplify right side
    2,777.82x = 3,455,946.96
  5. Step 5: Solve for x
    x = 3,455,946.96/2,777.82
  6. Step 6: Final answer
    x = 1,244.12

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Why These Related Problems?

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