Home / 2,111.73-3,167.60-941.43

Finding the Fourth Proportional to 2,111.73, 3,167.60 and 941.43

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Solution

The fourth proportional to 2,111.73, 3,167.60 and 941.43 is: 1,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.73 : 3,167.60 = 941.43 : x
  2. Step 2: Convert to fraction form
    2,111.73/3,167.60 = 941.43/x
  3. Step 3: Cross multiply
    2,111.73x = 3,167.60 × 941.43
  4. Step 4: Simplify right side
    2,111.73x = 2,982,068.96
  5. Step 5: Solve for x
    x = 2,982,068.96/2,111.73
  6. Step 6: Final answer
    x = 1,412.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.