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Finding the Fourth Proportional to 1,428.35, 2,142.41 and 388.31

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Solution

The fourth proportional to 1,428.35, 2,142.41 and 388.31 is: 582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.35 : 2,142.41 = 388.31 : x
  2. Step 2: Convert to fraction form
    1,428.35/2,142.41 = 388.31/x
  3. Step 3: Cross multiply
    1,428.35x = 2,142.41 × 388.31
  4. Step 4: Simplify right side
    1,428.35x = 831,906.57
  5. Step 5: Solve for x
    x = 831,906.57/1,428.35
  6. Step 6: Final answer
    x = 582.43

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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.