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Finding the Fourth Proportional to 3,123.14, 4,310.84 and 1,797.78

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Solution

The fourth proportional to 3,123.14, 4,310.84 and 1,797.78 is: 2,481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.14 : 4,310.84 = 1,797.78 : x
  2. Step 2: Convert to fraction form
    3,123.14/4,310.84 = 1,797.78/x
  3. Step 3: Cross multiply
    3,123.14x = 4,310.84 × 1,797.78
  4. Step 4: Simplify right side
    3,123.14x = 7,749,941.94
  5. Step 5: Solve for x
    x = 7,749,941.94/3,123.14
  6. Step 6: Final answer
    x = 2,481.46

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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.