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Finding the Fourth Proportional to 2,497.44, 3,748.03 and 938.97

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Solution

The fourth proportional to 2,497.44, 3,748.03 and 938.97 is: 1,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.44 : 3,748.03 = 938.97 : x
  2. Step 2: Convert to fraction form
    2,497.44/3,748.03 = 938.97/x
  3. Step 3: Cross multiply
    2,497.44x = 3,748.03 × 938.97
  4. Step 4: Simplify right side
    2,497.44x = 3,519,299.44
  5. Step 5: Solve for x
    x = 3,519,299.44/2,497.44
  6. Step 6: Final answer
    x = 1,409.16

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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.