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Finding the Fourth Proportional to 2,511.96, 3,769.17 and 1,213.53

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Solution

The fourth proportional to 2,511.96, 3,769.17 and 1,213.53 is: 1,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.96 : 3,769.17 = 1,213.53 : x
  2. Step 2: Convert to fraction form
    2,511.96/3,769.17 = 1,213.53/x
  3. Step 3: Cross multiply
    2,511.96x = 3,769.17 × 1,213.53
  4. Step 4: Simplify right side
    2,511.96x = 4,574,000.87
  5. Step 5: Solve for x
    x = 4,574,000.87/2,511.96
  6. Step 6: Final answer
    x = 1,820.89

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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.