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Finding the Fourth Proportional to 2,584.89, 3,876.06 and 1,844.10

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Solution

The fourth proportional to 2,584.89, 3,876.06 and 1,844.10 is: 2,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.89 : 3,876.06 = 1,844.10 : x
  2. Step 2: Convert to fraction form
    2,584.89/3,876.06 = 1,844.10/x
  3. Step 3: Cross multiply
    2,584.89x = 3,876.06 × 1,844.10
  4. Step 4: Simplify right side
    2,584.89x = 7,147,842.25
  5. Step 5: Solve for x
    x = 7,147,842.25/2,584.89
  6. Step 6: Final answer
    x = 2,765.24

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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.