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Finding the Fourth Proportional to 2,585.43, 3,876.57 and 941.54

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Solution

The fourth proportional to 2,585.43, 3,876.57 and 941.54 is: 1,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.43 : 3,876.57 = 941.54 : x
  2. Step 2: Convert to fraction form
    2,585.43/3,876.57 = 941.54/x
  3. Step 3: Cross multiply
    2,585.43x = 3,876.57 × 941.54
  4. Step 4: Simplify right side
    2,585.43x = 3,649,926.33
  5. Step 5: Solve for x
    x = 3,649,926.33/2,585.43
  6. Step 6: Final answer
    x = 1,411.73

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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.