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Finding the Fourth Proportional to 2,453.25, 3,385.50 and 1,405.38

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Solution

The fourth proportional to 2,453.25, 3,385.50 and 1,405.38 is: 1,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.25 : 3,385.50 = 1,405.38 : x
  2. Step 2: Convert to fraction form
    2,453.25/3,385.50 = 1,405.38/x
  3. Step 3: Cross multiply
    2,453.25x = 3,385.50 × 1,405.38
  4. Step 4: Simplify right side
    2,453.25x = 4,757,913.99
  5. Step 5: Solve for x
    x = 4,757,913.99/2,453.25
  6. Step 6: Final answer
    x = 1,939.43

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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.