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Finding the Fourth Proportional to 3,144.23, 4,339.11 and 1,728.00

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Solution

The fourth proportional to 3,144.23, 4,339.11 and 1,728.00 is: 2,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.23 : 4,339.11 = 1,728.00 : x
  2. Step 2: Convert to fraction form
    3,144.23/4,339.11 = 1,728.00/x
  3. Step 3: Cross multiply
    3,144.23x = 4,339.11 × 1,728.00
  4. Step 4: Simplify right side
    3,144.23x = 7,497,986.45
  5. Step 5: Solve for x
    x = 7,497,986.45/3,144.23
  6. Step 6: Final answer
    x = 2,384.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.