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Finding the Fourth Proportional to 2,382.95, 3,573.39 and 1,396.82

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Solution

The fourth proportional to 2,382.95, 3,573.39 and 1,396.82 is: 2,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.95 : 3,573.39 = 1,396.82 : x
  2. Step 2: Convert to fraction form
    2,382.95/3,573.39 = 1,396.82/x
  3. Step 3: Cross multiply
    2,382.95x = 3,573.39 × 1,396.82
  4. Step 4: Simplify right side
    2,382.95x = 4,991,382.62
  5. Step 5: Solve for x
    x = 4,991,382.62/2,382.95
  6. Step 6: Final answer
    x = 2,094.62

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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.