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Finding the Fourth Proportional to 2,836.74, 4,256.20 and 1,105.50

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Solution

The fourth proportional to 2,836.74, 4,256.20 and 1,105.50 is: 1,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.74 : 4,256.20 = 1,105.50 : x
  2. Step 2: Convert to fraction form
    2,836.74/4,256.20 = 1,105.50/x
  3. Step 3: Cross multiply
    2,836.74x = 4,256.20 × 1,105.50
  4. Step 4: Simplify right side
    2,836.74x = 4,705,229.10
  5. Step 5: Solve for x
    x = 4,705,229.10/2,836.74
  6. Step 6: Final answer
    x = 1,658.67

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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.