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Finding the Fourth Proportional to 2,453.92, 3,680.78 and 604.94

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Solution

The fourth proportional to 2,453.92, 3,680.78 and 604.94 is: 907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.92 : 3,680.78 = 604.94 : x
  2. Step 2: Convert to fraction form
    2,453.92/3,680.78 = 604.94/x
  3. Step 3: Cross multiply
    2,453.92x = 3,680.78 × 604.94
  4. Step 4: Simplify right side
    2,453.92x = 2,226,651.05
  5. Step 5: Solve for x
    x = 2,226,651.05/2,453.92
  6. Step 6: Final answer
    x = 907.39

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1.5x scale

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.