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Finding the Fourth Proportional to 2,890.23, 4,335.21 and 810.09

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Solution

The fourth proportional to 2,890.23, 4,335.21 and 810.09 is: 1,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.23 : 4,335.21 = 810.09 : x
  2. Step 2: Convert to fraction form
    2,890.23/4,335.21 = 810.09/x
  3. Step 3: Cross multiply
    2,890.23x = 4,335.21 × 810.09
  4. Step 4: Simplify right side
    2,890.23x = 3,511,910.27
  5. Step 5: Solve for x
    x = 3,511,910.27/2,890.23
  6. Step 6: Final answer
    x = 1,215.10

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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.