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Finding the Fourth Proportional to 2,123.18, 3,184.63 and 806.39

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Solution

The fourth proportional to 2,123.18, 3,184.63 and 806.39 is: 1,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.18 : 3,184.63 = 806.39 : x
  2. Step 2: Convert to fraction form
    2,123.18/3,184.63 = 806.39/x
  3. Step 3: Cross multiply
    2,123.18x = 3,184.63 × 806.39
  4. Step 4: Simplify right side
    2,123.18x = 2,568,053.79
  5. Step 5: Solve for x
    x = 2,568,053.79/2,123.18
  6. Step 6: Final answer
    x = 1,209.53

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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.