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Finding the Fourth Proportional to 2,776.68, 4,166.94 and 2,511.98

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Solution

The fourth proportional to 2,776.68, 4,166.94 and 2,511.98 is: 3,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.68 : 4,166.94 = 2,511.98 : x
  2. Step 2: Convert to fraction form
    2,776.68/4,166.94 = 2,511.98/x
  3. Step 3: Cross multiply
    2,776.68x = 4,166.94 × 2,511.98
  4. Step 4: Simplify right side
    2,776.68x = 10,467,274.15
  5. Step 5: Solve for x
    x = 10,467,274.15/2,776.68
  6. Step 6: Final answer
    x = 3,769.71

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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.