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Finding the Fourth Proportional to 3,029.37, 4,544.86 and 949.45

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Solution

The fourth proportional to 3,029.37, 4,544.86 and 949.45 is: 1,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.37 : 4,544.86 = 949.45 : x
  2. Step 2: Convert to fraction form
    3,029.37/4,544.86 = 949.45/x
  3. Step 3: Cross multiply
    3,029.37x = 4,544.86 × 949.45
  4. Step 4: Simplify right side
    3,029.37x = 4,315,101.11
  5. Step 5: Solve for x
    x = 4,315,101.11/3,029.37
  6. Step 6: Final answer
    x = 1,424.42

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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.