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Finding the Fourth Proportional to 2,674.76, 4,012.34 and 919.89

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Solution

The fourth proportional to 2,674.76, 4,012.34 and 919.89 is: 1,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.76 : 4,012.34 = 919.89 : x
  2. Step 2: Convert to fraction form
    2,674.76/4,012.34 = 919.89/x
  3. Step 3: Cross multiply
    2,674.76x = 4,012.34 × 919.89
  4. Step 4: Simplify right side
    2,674.76x = 3,690,906.84
  5. Step 5: Solve for x
    x = 3,690,906.84/2,674.76
  6. Step 6: Final answer
    x = 1,379.90

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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.