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Finding the Fourth Proportional to 1,496.42, 2,247.84 and 1,447.22

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Solution

The fourth proportional to 1,496.42, 2,247.84 and 1,447.22 is: 2,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.42 : 2,247.84 = 1,447.22 : x
  2. Step 2: Convert to fraction form
    1,496.42/2,247.84 = 1,447.22/x
  3. Step 3: Cross multiply
    1,496.42x = 2,247.84 × 1,447.22
  4. Step 4: Simplify right side
    1,496.42x = 3,253,119.00
  5. Step 5: Solve for x
    x = 3,253,119.00/1,496.42
  6. Step 6: Final answer
    x = 2,173.93

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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.