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Finding the Fourth Proportional to 3,144.89, 4,716.16 and 923.00

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Solution

The fourth proportional to 3,144.89, 4,716.16 and 923.00 is: 1,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.89 : 4,716.16 = 923.00 : x
  2. Step 2: Convert to fraction form
    3,144.89/4,716.16 = 923.00/x
  3. Step 3: Cross multiply
    3,144.89x = 4,716.16 × 923.00
  4. Step 4: Simplify right side
    3,144.89x = 4,352,989.79
  5. Step 5: Solve for x
    x = 4,352,989.79/3,144.89
  6. Step 6: Final answer
    x = 1,384.15

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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.