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Finding the Fourth Proportional to 1,448.05, 2,172.21 and 408.07

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Solution

The fourth proportional to 1,448.05, 2,172.21 and 408.07 is: 612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.05 : 2,172.21 = 408.07 : x
  2. Step 2: Convert to fraction form
    1,448.05/2,172.21 = 408.07/x
  3. Step 3: Cross multiply
    1,448.05x = 2,172.21 × 408.07
  4. Step 4: Simplify right side
    1,448.05x = 886,402.36
  5. Step 5: Solve for x
    x = 886,402.36/1,448.05
  6. Step 6: Final answer
    x = 612.13

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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.