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Finding the Fourth Proportional to 3,238.40, 4,855.12 and 1,505.76

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Solution

The fourth proportional to 3,238.40, 4,855.12 and 1,505.76 is: 2,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.40 : 4,855.12 = 1,505.76 : x
  2. Step 2: Convert to fraction form
    3,238.40/4,855.12 = 1,505.76/x
  3. Step 3: Cross multiply
    3,238.40x = 4,855.12 × 1,505.76
  4. Step 4: Simplify right side
    3,238.40x = 7,310,645.49
  5. Step 5: Solve for x
    x = 7,310,645.49/3,238.40
  6. Step 6: Final answer
    x = 2,257.49

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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.