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Finding the Fourth Proportional to 2,114.49, 3,174.81 and 1,501.44

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Solution

The fourth proportional to 2,114.49, 3,174.81 and 1,501.44 is: 2,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.49 : 3,174.81 = 1,501.44 : x
  2. Step 2: Convert to fraction form
    2,114.49/3,174.81 = 1,501.44/x
  3. Step 3: Cross multiply
    2,114.49x = 3,174.81 × 1,501.44
  4. Step 4: Simplify right side
    2,114.49x = 4,766,786.73
  5. Step 5: Solve for x
    x = 4,766,786.73/2,114.49
  6. Step 6: Final answer
    x = 2,254.34

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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.