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Finding the Fourth Proportional to 1,684.89, 2,529.09 and 1,491.21

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Solution

The fourth proportional to 1,684.89, 2,529.09 and 1,491.21 is: 2,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.89 : 2,529.09 = 1,491.21 : x
  2. Step 2: Convert to fraction form
    1,684.89/2,529.09 = 1,491.21/x
  3. Step 3: Cross multiply
    1,684.89x = 2,529.09 × 1,491.21
  4. Step 4: Simplify right side
    1,684.89x = 3,771,404.30
  5. Step 5: Solve for x
    x = 3,771,404.30/1,684.89
  6. Step 6: Final answer
    x = 2,238.37

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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.