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Finding the Fourth Proportional to 3,102.81, 4,650.10 and 2,277.22

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Solution

The fourth proportional to 3,102.81, 4,650.10 and 2,277.22 is: 3,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.81 : 4,650.10 = 2,277.22 : x
  2. Step 2: Convert to fraction form
    3,102.81/4,650.10 = 2,277.22/x
  3. Step 3: Cross multiply
    3,102.81x = 4,650.10 × 2,277.22
  4. Step 4: Simplify right side
    3,102.81x = 10,589,300.72
  5. Step 5: Solve for x
    x = 10,589,300.72/3,102.81
  6. Step 6: Final answer
    x = 3,412.81

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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.