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Finding the Fourth Proportional to 2,586.81, 3,880.99 and 1,491.96

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Solution

The fourth proportional to 2,586.81, 3,880.99 and 1,491.96 is: 2,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.81 : 3,880.99 = 1,491.96 : x
  2. Step 2: Convert to fraction form
    2,586.81/3,880.99 = 1,491.96/x
  3. Step 3: Cross multiply
    2,586.81x = 3,880.99 × 1,491.96
  4. Step 4: Simplify right side
    2,586.81x = 5,790,284.08
  5. Step 5: Solve for x
    x = 5,790,284.08/2,586.81
  6. Step 6: Final answer
    x = 2,238.39

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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.