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Finding the Fourth Proportional to 2,382.74, 3,288.17 and 1,334.80

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Solution

The fourth proportional to 2,382.74, 3,288.17 and 1,334.80 is: 1,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.74 : 3,288.17 = 1,334.80 : x
  2. Step 2: Convert to fraction form
    2,382.74/3,288.17 = 1,334.80/x
  3. Step 3: Cross multiply
    2,382.74x = 3,288.17 × 1,334.80
  4. Step 4: Simplify right side
    2,382.74x = 4,389,026.20
  5. Step 5: Solve for x
    x = 4,389,026.20/2,382.74
  6. Step 6: Final answer
    x = 1,842.01

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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.