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Finding the Fourth Proportional to 2,252.07, 3,377.97 and 713.07

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Solution

The fourth proportional to 2,252.07, 3,377.97 and 713.07 is: 1,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.07 : 3,377.97 = 713.07 : x
  2. Step 2: Convert to fraction form
    2,252.07/3,377.97 = 713.07/x
  3. Step 3: Cross multiply
    2,252.07x = 3,377.97 × 713.07
  4. Step 4: Simplify right side
    2,252.07x = 2,408,729.07
  5. Step 5: Solve for x
    x = 2,408,729.07/2,252.07
  6. Step 6: Final answer
    x = 1,069.56

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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.