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Finding the Fourth Proportional to 1,447.69, 1,996.50 and 950.14

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Solution

The fourth proportional to 1,447.69, 1,996.50 and 950.14 is: 1,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.69 : 1,996.50 = 950.14 : x
  2. Step 2: Convert to fraction form
    1,447.69/1,996.50 = 950.14/x
  3. Step 3: Cross multiply
    1,447.69x = 1,996.50 × 950.14
  4. Step 4: Simplify right side
    1,447.69x = 1,896,954.51
  5. Step 5: Solve for x
    x = 1,896,954.51/1,447.69
  6. Step 6: Final answer
    x = 1,310.33

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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.