Home / 1,971.41-2,956.14-1,149.89

Finding the Fourth Proportional to 1,971.41, 2,956.14 and 1,149.89

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Solution

The fourth proportional to 1,971.41, 2,956.14 and 1,149.89 is: 1,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.41 : 2,956.14 = 1,149.89 : x
  2. Step 2: Convert to fraction form
    1,971.41/2,956.14 = 1,149.89/x
  3. Step 3: Cross multiply
    1,971.41x = 2,956.14 × 1,149.89
  4. Step 4: Simplify right side
    1,971.41x = 3,399,230.08
  5. Step 5: Solve for x
    x = 3,399,230.08/1,971.41
  6. Step 6: Final answer
    x = 1,724.26

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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.