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Finding the Fourth Proportional to 2,890.22, 4,335.05 and 810.41

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Solution

The fourth proportional to 2,890.22, 4,335.05 and 810.41 is: 1,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.22 : 4,335.05 = 810.41 : x
  2. Step 2: Convert to fraction form
    2,890.22/4,335.05 = 810.41/x
  3. Step 3: Cross multiply
    2,890.22x = 4,335.05 × 810.41
  4. Step 4: Simplify right side
    2,890.22x = 3,513,148.22
  5. Step 5: Solve for x
    x = 3,513,148.22/2,890.22
  6. Step 6: Final answer
    x = 1,215.53

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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.