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Finding the Fourth Proportional to 2,283.94, 3,409.22 and 1,961.38

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Solution

The fourth proportional to 2,283.94, 3,409.22 and 1,961.38 is: 2,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.94 : 3,409.22 = 1,961.38 : x
  2. Step 2: Convert to fraction form
    2,283.94/3,409.22 = 1,961.38/x
  3. Step 3: Cross multiply
    2,283.94x = 3,409.22 × 1,961.38
  4. Step 4: Simplify right side
    2,283.94x = 6,686,775.92
  5. Step 5: Solve for x
    x = 6,686,775.92/2,283.94
  6. Step 6: Final answer
    x = 2,927.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.