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Finding the Fourth Proportional to 2,382.12, 3,571.89 and 738.22

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Solution

The fourth proportional to 2,382.12, 3,571.89 and 738.22 is: 1,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.12 : 3,571.89 = 738.22 : x
  2. Step 2: Convert to fraction form
    2,382.12/3,571.89 = 738.22/x
  3. Step 3: Cross multiply
    2,382.12x = 3,571.89 × 738.22
  4. Step 4: Simplify right side
    2,382.12x = 2,636,840.64
  5. Step 5: Solve for x
    x = 2,636,840.64/2,382.12
  6. Step 6: Final answer
    x = 1,106.93

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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.