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Finding the Fourth Proportional to 2,757.68, 3,806.28 and 1,874.96

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Solution

The fourth proportional to 2,757.68, 3,806.28 and 1,874.96 is: 2,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.68 : 3,806.28 = 1,874.96 : x
  2. Step 2: Convert to fraction form
    2,757.68/3,806.28 = 1,874.96/x
  3. Step 3: Cross multiply
    2,757.68x = 3,806.28 × 1,874.96
  4. Step 4: Simplify right side
    2,757.68x = 7,136,622.75
  5. Step 5: Solve for x
    x = 7,136,622.75/2,757.68
  6. Step 6: Final answer
    x = 2,587.91

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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.