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Finding the Fourth Proportional to 2,890.82, 3,986.60 and 1,896.96

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Solution

The fourth proportional to 2,890.82, 3,986.60 and 1,896.96 is: 2,616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.82 : 3,986.60 = 1,896.96 : x
  2. Step 2: Convert to fraction form
    2,890.82/3,986.60 = 1,896.96/x
  3. Step 3: Cross multiply
    2,890.82x = 3,986.60 × 1,896.96
  4. Step 4: Simplify right side
    2,890.82x = 7,562,420.74
  5. Step 5: Solve for x
    x = 7,562,420.74/2,890.82
  6. Step 6: Final answer
    x = 2,616.01

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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.