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Finding the Fourth Proportional to 3,144.81, 4,694.16 and 2,775.81

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Solution

The fourth proportional to 3,144.81, 4,694.16 and 2,775.81 is: 4,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.81 : 4,694.16 = 2,775.81 : x
  2. Step 2: Convert to fraction form
    3,144.81/4,694.16 = 2,775.81/x
  3. Step 3: Cross multiply
    3,144.81x = 4,694.16 × 2,775.81
  4. Step 4: Simplify right side
    3,144.81x = 13,030,096.27
  5. Step 5: Solve for x
    x = 13,030,096.27/3,144.81
  6. Step 6: Final answer
    x = 4,143.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.