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Finding the Fourth Proportional to 2,128.86, 3,193.56 and 813.42

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Solution

The fourth proportional to 2,128.86, 3,193.56 and 813.42 is: 1,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.86 : 3,193.56 = 813.42 : x
  2. Step 2: Convert to fraction form
    2,128.86/3,193.56 = 813.42/x
  3. Step 3: Cross multiply
    2,128.86x = 3,193.56 × 813.42
  4. Step 4: Simplify right side
    2,128.86x = 2,597,705.58
  5. Step 5: Solve for x
    x = 2,597,705.58/2,128.86
  6. Step 6: Final answer
    x = 1,220.23

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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.