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Finding the Fourth Proportional to 2,999.72, 4,498.67 and 1,829.67

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Solution

The fourth proportional to 2,999.72, 4,498.67 and 1,829.67 is: 2,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.72 : 4,498.67 = 1,829.67 : x
  2. Step 2: Convert to fraction form
    2,999.72/4,498.67 = 1,829.67/x
  3. Step 3: Cross multiply
    2,999.72x = 4,498.67 × 1,829.67
  4. Step 4: Simplify right side
    2,999.72x = 8,231,072.39
  5. Step 5: Solve for x
    x = 8,231,072.39/2,999.72
  6. Step 6: Final answer
    x = 2,743.95

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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.