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Finding the Fourth Proportional to 2,245.72, 3,097.26 and 1,885.42

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Solution

The fourth proportional to 2,245.72, 3,097.26 and 1,885.42 is: 2,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.72 : 3,097.26 = 1,885.42 : x
  2. Step 2: Convert to fraction form
    2,245.72/3,097.26 = 1,885.42/x
  3. Step 3: Cross multiply
    2,245.72x = 3,097.26 × 1,885.42
  4. Step 4: Simplify right side
    2,245.72x = 5,839,635.95
  5. Step 5: Solve for x
    x = 5,839,635.95/2,245.72
  6. Step 6: Final answer
    x = 2,600.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.