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Finding the Fourth Proportional to 2,453.63, 3,680.44 and 914.63

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Solution

The fourth proportional to 2,453.63, 3,680.44 and 914.63 is: 1,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.63 : 3,680.44 = 914.63 : x
  2. Step 2: Convert to fraction form
    2,453.63/3,680.44 = 914.63/x
  3. Step 3: Cross multiply
    2,453.63x = 3,680.44 × 914.63
  4. Step 4: Simplify right side
    2,453.63x = 3,366,220.15
  5. Step 5: Solve for x
    x = 3,366,220.15/2,453.63
  6. Step 6: Final answer
    x = 1,371.94

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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.