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Finding the Fourth Proportional to 2,770.80, 4,154.12 and 1,674.94

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Solution

The fourth proportional to 2,770.80, 4,154.12 and 1,674.94 is: 2,511.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.80 : 4,154.12 = 1,674.94 : x
  2. Step 2: Convert to fraction form
    2,770.80/4,154.12 = 1,674.94/x
  3. Step 3: Cross multiply
    2,770.80x = 4,154.12 × 1,674.94
  4. Step 4: Simplify right side
    2,770.80x = 6,957,901.75
  5. Step 5: Solve for x
    x = 6,957,901.75/2,770.80
  6. Step 6: Final answer
    x = 2,511.15

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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.