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Finding the Fourth Proportional to 1,428.24, 1,971.78 and 986.79

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Solution

The fourth proportional to 1,428.24, 1,971.78 and 986.79 is: 1,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.24 : 1,971.78 = 986.79 : x
  2. Step 2: Convert to fraction form
    1,428.24/1,971.78 = 986.79/x
  3. Step 3: Cross multiply
    1,428.24x = 1,971.78 × 986.79
  4. Step 4: Simplify right side
    1,428.24x = 1,945,732.79
  5. Step 5: Solve for x
    x = 1,945,732.79/1,428.24
  6. Step 6: Final answer
    x = 1,362.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.