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Finding the Fourth Proportional to 2,469.05, 3,702.96 and 737.67

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Solution

The fourth proportional to 2,469.05, 3,702.96 and 737.67 is: 1,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.05 : 3,702.96 = 737.67 : x
  2. Step 2: Convert to fraction form
    2,469.05/3,702.96 = 737.67/x
  3. Step 3: Cross multiply
    2,469.05x = 3,702.96 × 737.67
  4. Step 4: Simplify right side
    2,469.05x = 2,731,562.50
  5. Step 5: Solve for x
    x = 2,731,562.50/2,469.05
  6. Step 6: Final answer
    x = 1,106.32

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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.