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Finding the Fourth Proportional to 1,428.54, 2,142.69 and 969.27

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Solution

The fourth proportional to 1,428.54, 2,142.69 and 969.27 is: 1,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.54 : 2,142.69 = 969.27 : x
  2. Step 2: Convert to fraction form
    1,428.54/2,142.69 = 969.27/x
  3. Step 3: Cross multiply
    1,428.54x = 2,142.69 × 969.27
  4. Step 4: Simplify right side
    1,428.54x = 2,076,845.14
  5. Step 5: Solve for x
    x = 2,076,845.14/1,428.54
  6. Step 6: Final answer
    x = 1,453.82

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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.