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Finding the Fourth Proportional to 2,735.56, 4,106.99 and 2,327.32

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Solution

The fourth proportional to 2,735.56, 4,106.99 and 2,327.32 is: 3,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.56 : 4,106.99 = 2,327.32 : x
  2. Step 2: Convert to fraction form
    2,735.56/4,106.99 = 2,327.32/x
  3. Step 3: Cross multiply
    2,735.56x = 4,106.99 × 2,327.32
  4. Step 4: Simplify right side
    2,735.56x = 9,558,279.97
  5. Step 5: Solve for x
    x = 9,558,279.97/2,735.56
  6. Step 6: Final answer
    x = 3,494.09

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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.