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Finding the Fourth Proportional to 1,431.69, 1,974.82 and 1,116.44

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Solution

The fourth proportional to 1,431.69, 1,974.82 and 1,116.44 is: 1,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.69 : 1,974.82 = 1,116.44 : x
  2. Step 2: Convert to fraction form
    1,431.69/1,974.82 = 1,116.44/x
  3. Step 3: Cross multiply
    1,431.69x = 1,974.82 × 1,116.44
  4. Step 4: Simplify right side
    1,431.69x = 2,204,768.04
  5. Step 5: Solve for x
    x = 2,204,768.04/1,431.69
  6. Step 6: Final answer
    x = 1,539.98

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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.