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Finding the Fourth Proportional to 2,123.05, 3,182.76 and 806.07

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Solution

The fourth proportional to 2,123.05, 3,182.76 and 806.07 is: 1,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.05 : 3,182.76 = 806.07 : x
  2. Step 2: Convert to fraction form
    2,123.05/3,182.76 = 806.07/x
  3. Step 3: Cross multiply
    2,123.05x = 3,182.76 × 806.07
  4. Step 4: Simplify right side
    2,123.05x = 2,565,511.44
  5. Step 5: Solve for x
    x = 2,565,511.44/2,123.05
  6. Step 6: Final answer
    x = 1,208.41

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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.