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Finding the Fourth Proportional to 2,874.62, 3,965.83 and 1,812.04

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Solution

The fourth proportional to 2,874.62, 3,965.83 and 1,812.04 is: 2,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.62 : 3,965.83 = 1,812.04 : x
  2. Step 2: Convert to fraction form
    2,874.62/3,965.83 = 1,812.04/x
  3. Step 3: Cross multiply
    2,874.62x = 3,965.83 × 1,812.04
  4. Step 4: Simplify right side
    2,874.62x = 7,186,228.15
  5. Step 5: Solve for x
    x = 7,186,228.15/2,874.62
  6. Step 6: Final answer
    x = 2,499.89

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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.