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Finding the Fourth Proportional to 1,680.96, 2,519.14 and 1,269.76

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Solution

The fourth proportional to 1,680.96, 2,519.14 and 1,269.76 is: 1,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.96 : 2,519.14 = 1,269.76 : x
  2. Step 2: Convert to fraction form
    1,680.96/2,519.14 = 1,269.76/x
  3. Step 3: Cross multiply
    1,680.96x = 2,519.14 × 1,269.76
  4. Step 4: Simplify right side
    1,680.96x = 3,198,703.21
  5. Step 5: Solve for x
    x = 3,198,703.21/1,680.96
  6. Step 6: Final answer
    x = 1,902.90

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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.