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Finding the Fourth Proportional to 3,376.76, 4,661.34 and 2,382.80

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Solution

The fourth proportional to 3,376.76, 4,661.34 and 2,382.80 is: 3,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.76 : 4,661.34 = 2,382.80 : x
  2. Step 2: Convert to fraction form
    3,376.76/4,661.34 = 2,382.80/x
  3. Step 3: Cross multiply
    3,376.76x = 4,661.34 × 2,382.80
  4. Step 4: Simplify right side
    3,376.76x = 11,107,040.95
  5. Step 5: Solve for x
    x = 11,107,040.95/3,376.76
  6. Step 6: Final answer
    x = 3,289.26

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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.