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Finding the Fourth Proportional to 2,761.02, 4,142.33 and 813.23

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Solution

The fourth proportional to 2,761.02, 4,142.33 and 813.23 is: 1,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.02 : 4,142.33 = 813.23 : x
  2. Step 2: Convert to fraction form
    2,761.02/4,142.33 = 813.23/x
  3. Step 3: Cross multiply
    2,761.02x = 4,142.33 × 813.23
  4. Step 4: Simplify right side
    2,761.02x = 3,368,667.03
  5. Step 5: Solve for x
    x = 3,368,667.03/2,761.02
  6. Step 6: Final answer
    x = 1,220.08

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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.