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Finding the Fourth Proportional to 3,144.96, 4,716.32 and 923.18

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Solution

The fourth proportional to 3,144.96, 4,716.32 and 923.18 is: 1,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.96 : 4,716.32 = 923.18 : x
  2. Step 2: Convert to fraction form
    3,144.96/4,716.32 = 923.18/x
  3. Step 3: Cross multiply
    3,144.96x = 4,716.32 × 923.18
  4. Step 4: Simplify right side
    3,144.96x = 4,353,984.10
  5. Step 5: Solve for x
    x = 4,353,984.10/3,144.96
  6. Step 6: Final answer
    x = 1,384.43

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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.