Home / 1,431.30-1,974.42-841.74

Finding the Fourth Proportional to 1,431.30, 1,974.42 and 841.74

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Solution

The fourth proportional to 1,431.30, 1,974.42 and 841.74 is: 1,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.30 : 1,974.42 = 841.74 : x
  2. Step 2: Convert to fraction form
    1,431.30/1,974.42 = 841.74/x
  3. Step 3: Cross multiply
    1,431.30x = 1,974.42 × 841.74
  4. Step 4: Simplify right side
    1,431.30x = 1,661,948.29
  5. Step 5: Solve for x
    x = 1,661,948.29/1,431.30
  6. Step 6: Final answer
    x = 1,161.15

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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.