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Finding the Fourth Proportional to 2,586.32, 3,876.02 and 941.31

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Solution

The fourth proportional to 2,586.32, 3,876.02 and 941.31 is: 1,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.32 : 3,876.02 = 941.31 : x
  2. Step 2: Convert to fraction form
    2,586.32/3,876.02 = 941.31/x
  3. Step 3: Cross multiply
    2,586.32x = 3,876.02 × 941.31
  4. Step 4: Simplify right side
    2,586.32x = 3,648,538.74
  5. Step 5: Solve for x
    x = 3,648,538.74/2,586.32
  6. Step 6: Final answer
    x = 1,410.71

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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.