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Finding the Fourth Proportional to 2,586.90, 3,873.43 and 2,256.29

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Solution

The fourth proportional to 2,586.90, 3,873.43 and 2,256.29 is: 3,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.90 : 3,873.43 = 2,256.29 : x
  2. Step 2: Convert to fraction form
    2,586.90/3,873.43 = 2,256.29/x
  3. Step 3: Cross multiply
    2,586.90x = 3,873.43 × 2,256.29
  4. Step 4: Simplify right side
    2,586.90x = 8,739,556.37
  5. Step 5: Solve for x
    x = 8,739,556.37/2,586.90
  6. Step 6: Final answer
    x = 3,378.39

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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.