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Finding the Fourth Proportional to 3,029.67, 4,537.17 and 2,102.67

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Solution

The fourth proportional to 3,029.67, 4,537.17 and 2,102.67 is: 3,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.67 : 4,537.17 = 2,102.67 : x
  2. Step 2: Convert to fraction form
    3,029.67/4,537.17 = 2,102.67/x
  3. Step 3: Cross multiply
    3,029.67x = 4,537.17 × 2,102.67
  4. Step 4: Simplify right side
    3,029.67x = 9,540,171.24
  5. Step 5: Solve for x
    x = 9,540,171.24/3,029.67
  6. Step 6: Final answer
    x = 3,148.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.