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Finding the Fourth Proportional to 3,257.81, 4,880.83 and 2,741.03

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Solution

The fourth proportional to 3,257.81, 4,880.83 and 2,741.03 is: 4,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.81 : 4,880.83 = 2,741.03 : x
  2. Step 2: Convert to fraction form
    3,257.81/4,880.83 = 2,741.03/x
  3. Step 3: Cross multiply
    3,257.81x = 4,880.83 × 2,741.03
  4. Step 4: Simplify right side
    3,257.81x = 13,378,501.45
  5. Step 5: Solve for x
    x = 13,378,501.45/3,257.81
  6. Step 6: Final answer
    x = 4,106.59

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Why These Related Problems?

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