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Finding the Fourth Proportional to 2,252, 3,378.54 and 713

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Solution

The fourth proportional to 2,252, 3,378.54 and 713 is: 1,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252 : 3,378.54 = 713 : x
  2. Step 2: Convert to fraction form
    2,252/3,378.54 = 713/x
  3. Step 3: Cross multiply
    2,252x = 3,378.54 × 713
  4. Step 4: Simplify right side
    2,252x = 2,408,899.02
  5. Step 5: Solve for x
    x = 2,408,899.02/2,252
  6. Step 6: Final answer
    x = 1,069.67

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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.