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Finding the Fourth Proportional to 2,492.44, 3,738.56 and 737.37

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Solution

The fourth proportional to 2,492.44, 3,738.56 and 737.37 is: 1,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.44 : 3,738.56 = 737.37 : x
  2. Step 2: Convert to fraction form
    2,492.44/3,738.56 = 737.37/x
  3. Step 3: Cross multiply
    2,492.44x = 3,738.56 × 737.37
  4. Step 4: Simplify right side
    2,492.44x = 2,756,698.30
  5. Step 5: Solve for x
    x = 2,756,698.30/2,492.44
  6. Step 6: Final answer
    x = 1,106.03

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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.