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Finding the Fourth Proportional to 2,453.52, 3,680.43 and 992.49

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Solution

The fourth proportional to 2,453.52, 3,680.43 and 992.49 is: 1,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.52 : 3,680.43 = 992.49 : x
  2. Step 2: Convert to fraction form
    2,453.52/3,680.43 = 992.49/x
  3. Step 3: Cross multiply
    2,453.52x = 3,680.43 × 992.49
  4. Step 4: Simplify right side
    2,453.52x = 3,652,789.97
  5. Step 5: Solve for x
    x = 3,652,789.97/2,453.52
  6. Step 6: Final answer
    x = 1,488.80

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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.