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Finding the Fourth Proportional to 2,667.46, 3,682.04 and 1,759.04

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Solution

The fourth proportional to 2,667.46, 3,682.04 and 1,759.04 is: 2,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.46 : 3,682.04 = 1,759.04 : x
  2. Step 2: Convert to fraction form
    2,667.46/3,682.04 = 1,759.04/x
  3. Step 3: Cross multiply
    2,667.46x = 3,682.04 × 1,759.04
  4. Step 4: Simplify right side
    2,667.46x = 6,476,855.64
  5. Step 5: Solve for x
    x = 6,476,855.64/2,667.46
  6. Step 6: Final answer
    x = 2,428.10

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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.