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Finding the Fourth Proportional to 2,453.42, 3,680 and 604.44

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Solution

The fourth proportional to 2,453.42, 3,680 and 604.44 is: 906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.42 : 3,680 = 604.44 : x
  2. Step 2: Convert to fraction form
    2,453.42/3,680 = 604.44/x
  3. Step 3: Cross multiply
    2,453.42x = 3,680 × 604.44
  4. Step 4: Simplify right side
    2,453.42x = 2,224,339.20
  5. Step 5: Solve for x
    x = 2,224,339.20/2,453.42
  6. Step 6: Final answer
    x = 906.63

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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.