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Finding the Fourth Proportional to 1,431.94, 1,974.81 and 966.82

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Solution

The fourth proportional to 1,431.94, 1,974.81 and 966.82 is: 1,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.94 : 1,974.81 = 966.82 : x
  2. Step 2: Convert to fraction form
    1,431.94/1,974.81 = 966.82/x
  3. Step 3: Cross multiply
    1,431.94x = 1,974.81 × 966.82
  4. Step 4: Simplify right side
    1,431.94x = 1,909,285.80
  5. Step 5: Solve for x
    x = 1,909,285.80/1,431.94
  6. Step 6: Final answer
    x = 1,333.36

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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.