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Finding the Fourth Proportional to 2,890.56, 3,991.40 and 1,830.19

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Solution

The fourth proportional to 2,890.56, 3,991.40 and 1,830.19 is: 2,527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.56 : 3,991.40 = 1,830.19 : x
  2. Step 2: Convert to fraction form
    2,890.56/3,991.40 = 1,830.19/x
  3. Step 3: Cross multiply
    2,890.56x = 3,991.40 × 1,830.19
  4. Step 4: Simplify right side
    2,890.56x = 7,305,020.37
  5. Step 5: Solve for x
    x = 7,305,020.37/2,890.56
  6. Step 6: Final answer
    x = 2,527.20

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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.