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Finding the Fourth Proportional to 2,243.46, 3,364.47 and 944.67

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Solution

The fourth proportional to 2,243.46, 3,364.47 and 944.67 is: 1,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.46 : 3,364.47 = 944.67 : x
  2. Step 2: Convert to fraction form
    2,243.46/3,364.47 = 944.67/x
  3. Step 3: Cross multiply
    2,243.46x = 3,364.47 × 944.67
  4. Step 4: Simplify right side
    2,243.46x = 3,178,313.87
  5. Step 5: Solve for x
    x = 3,178,313.87/2,243.46
  6. Step 6: Final answer
    x = 1,416.70

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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.