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Finding the Fourth Proportional to 2,132.34, 3,198.52 and 745.67

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Solution

The fourth proportional to 2,132.34, 3,198.52 and 745.67 is: 1,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.34 : 3,198.52 = 745.67 : x
  2. Step 2: Convert to fraction form
    2,132.34/3,198.52 = 745.67/x
  3. Step 3: Cross multiply
    2,132.34x = 3,198.52 × 745.67
  4. Step 4: Simplify right side
    2,132.34x = 2,385,040.41
  5. Step 5: Solve for x
    x = 2,385,040.41/2,132.34
  6. Step 6: Final answer
    x = 1,118.51

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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.