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Finding the Fourth Proportional to 3,029.76, 4,180.68 and 2,245.68

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Solution

The fourth proportional to 3,029.76, 4,180.68 and 2,245.68 is: 3,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.76 : 4,180.68 = 2,245.68 : x
  2. Step 2: Convert to fraction form
    3,029.76/4,180.68 = 2,245.68/x
  3. Step 3: Cross multiply
    3,029.76x = 4,180.68 × 2,245.68
  4. Step 4: Simplify right side
    3,029.76x = 9,388,469.46
  5. Step 5: Solve for x
    x = 9,388,469.46/3,029.76
  6. Step 6: Final answer
    x = 3,098.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.