Home / 1,431.25-1,974.82-841.57

Finding the Fourth Proportional to 1,431.25, 1,974.82 and 841.57

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Solution

The fourth proportional to 1,431.25, 1,974.82 and 841.57 is: 1,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.25 : 1,974.82 = 841.57 : x
  2. Step 2: Convert to fraction form
    1,431.25/1,974.82 = 841.57/x
  3. Step 3: Cross multiply
    1,431.25x = 1,974.82 × 841.57
  4. Step 4: Simplify right side
    1,431.25x = 1,661,949.27
  5. Step 5: Solve for x
    x = 1,661,949.27/1,431.25
  6. Step 6: Final answer
    x = 1,161.19

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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.