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Finding the Fourth Proportional to 2,382.12, 3,571.74 and 1,065.63

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Solution

The fourth proportional to 2,382.12, 3,571.74 and 1,065.63 is: 1,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.12 : 3,571.74 = 1,065.63 : x
  2. Step 2: Convert to fraction form
    2,382.12/3,571.74 = 1,065.63/x
  3. Step 3: Cross multiply
    2,382.12x = 3,571.74 × 1,065.63
  4. Step 4: Simplify right side
    2,382.12x = 3,806,141.22
  5. Step 5: Solve for x
    x = 3,806,141.22/2,382.12
  6. Step 6: Final answer
    x = 1,597.79

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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.