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Finding the Fourth Proportional to 2,874.34, 3,965.25 and 1,811.62

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Solution

The fourth proportional to 2,874.34, 3,965.25 and 1,811.62 is: 2,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.34 : 3,965.25 = 1,811.62 : x
  2. Step 2: Convert to fraction form
    2,874.34/3,965.25 = 1,811.62/x
  3. Step 3: Cross multiply
    2,874.34x = 3,965.25 × 1,811.62
  4. Step 4: Simplify right side
    2,874.34x = 7,183,526.21
  5. Step 5: Solve for x
    x = 7,183,526.21/2,874.34
  6. Step 6: Final answer
    x = 2,499.19

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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.