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Finding the Fourth Proportional to 2,994.96, 4,129.81 and 1,874.57

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Solution

The fourth proportional to 2,994.96, 4,129.81 and 1,874.57 is: 2,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.96 : 4,129.81 = 1,874.57 : x
  2. Step 2: Convert to fraction form
    2,994.96/4,129.81 = 1,874.57/x
  3. Step 3: Cross multiply
    2,994.96x = 4,129.81 × 1,874.57
  4. Step 4: Simplify right side
    2,994.96x = 7,741,623.57
  5. Step 5: Solve for x
    x = 7,741,623.57/2,994.96
  6. Step 6: Final answer
    x = 2,584.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.