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Finding the Fourth Proportional to 1,890.27, 2,836.22 and 794.88

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Solution

The fourth proportional to 1,890.27, 2,836.22 and 794.88 is: 1,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.27 : 2,836.22 = 794.88 : x
  2. Step 2: Convert to fraction form
    1,890.27/2,836.22 = 794.88/x
  3. Step 3: Cross multiply
    1,890.27x = 2,836.22 × 794.88
  4. Step 4: Simplify right side
    1,890.27x = 2,254,450.58
  5. Step 5: Solve for x
    x = 2,254,450.58/1,890.27
  6. Step 6: Final answer
    x = 1,192.66

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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.