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Finding the Fourth Proportional to 2,889.68, 3,986.32 and 1,828.80

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Solution

The fourth proportional to 2,889.68, 3,986.32 and 1,828.80 is: 2,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.68 : 3,986.32 = 1,828.80 : x
  2. Step 2: Convert to fraction form
    2,889.68/3,986.32 = 1,828.80/x
  3. Step 3: Cross multiply
    2,889.68x = 3,986.32 × 1,828.80
  4. Step 4: Simplify right side
    2,889.68x = 7,290,182.02
  5. Step 5: Solve for x
    x = 7,290,182.02/2,889.68
  6. Step 6: Final answer
    x = 2,522.83

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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.