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Finding the Fourth Proportional to 1,448.38, 2,172.89 and 461.26

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Solution

The fourth proportional to 1,448.38, 2,172.89 and 461.26 is: 691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.38 : 2,172.89 = 461.26 : x
  2. Step 2: Convert to fraction form
    1,448.38/2,172.89 = 461.26/x
  3. Step 3: Cross multiply
    1,448.38x = 2,172.89 × 461.26
  4. Step 4: Simplify right side
    1,448.38x = 1,002,267.24
  5. Step 5: Solve for x
    x = 1,002,267.24/1,448.38
  6. Step 6: Final answer
    x = 691.99

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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.