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Finding the Fourth Proportional to 2,759.62, 4,141.86 and 2,327.08

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Solution

The fourth proportional to 2,759.62, 4,141.86 and 2,327.08 is: 3,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.62 : 4,141.86 = 2,327.08 : x
  2. Step 2: Convert to fraction form
    2,759.62/4,141.86 = 2,327.08/x
  3. Step 3: Cross multiply
    2,759.62x = 4,141.86 × 2,327.08
  4. Step 4: Simplify right side
    2,759.62x = 9,638,439.57
  5. Step 5: Solve for x
    x = 9,638,439.57/2,759.62
  6. Step 6: Final answer
    x = 3,492.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.