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Finding the Fourth Proportional to 2,496.96, 3,738.96 and 1,398.96

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Solution

The fourth proportional to 2,496.96, 3,738.96 and 1,398.96 is: 2,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.96 : 3,738.96 = 1,398.96 : x
  2. Step 2: Convert to fraction form
    2,496.96/3,738.96 = 1,398.96/x
  3. Step 3: Cross multiply
    2,496.96x = 3,738.96 × 1,398.96
  4. Step 4: Simplify right side
    2,496.96x = 5,230,655.48
  5. Step 5: Solve for x
    x = 5,230,655.48/2,496.96
  6. Step 6: Final answer
    x = 2,094.81

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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.