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Finding the Fourth Proportional to 3,266.80, 4,509.96 and 2,260

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Solution

The fourth proportional to 3,266.80, 4,509.96 and 2,260 is: 3,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.80 : 4,509.96 = 2,260 : x
  2. Step 2: Convert to fraction form
    3,266.80/4,509.96 = 2,260/x
  3. Step 3: Cross multiply
    3,266.80x = 4,509.96 × 2,260
  4. Step 4: Simplify right side
    3,266.80x = 10,192,509.60
  5. Step 5: Solve for x
    x = 10,192,509.60/3,266.80
  6. Step 6: Final answer
    x = 3,120.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.