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Finding the Fourth Proportional to 2,247.45, 3,114.05 and 2,196.42

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Solution

The fourth proportional to 2,247.45, 3,114.05 and 2,196.42 is: 3,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.45 : 3,114.05 = 2,196.42 : x
  2. Step 2: Convert to fraction form
    2,247.45/3,114.05 = 2,196.42/x
  3. Step 3: Cross multiply
    2,247.45x = 3,114.05 × 2,196.42
  4. Step 4: Simplify right side
    2,247.45x = 6,839,739.04
  5. Step 5: Solve for x
    x = 6,839,739.04/2,247.45
  6. Step 6: Final answer
    x = 3,043.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.