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Finding the Fourth Proportional to 1,428.40, 2,143.24 and 908.26

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Solution

The fourth proportional to 1,428.40, 2,143.24 and 908.26 is: 1,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.40 : 2,143.24 = 908.26 : x
  2. Step 2: Convert to fraction form
    1,428.40/2,143.24 = 908.26/x
  3. Step 3: Cross multiply
    1,428.40x = 2,143.24 × 908.26
  4. Step 4: Simplify right side
    1,428.40x = 1,946,623.59
  5. Step 5: Solve for x
    x = 1,946,623.59/1,428.40
  6. Step 6: Final answer
    x = 1,362.80

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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.