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Finding the Fourth Proportional to 1,971.82, 2,958.42 and 1,316.32

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Solution

The fourth proportional to 1,971.82, 2,958.42 and 1,316.32 is: 1,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.82 : 2,958.42 = 1,316.32 : x
  2. Step 2: Convert to fraction form
    1,971.82/2,958.42 = 1,316.32/x
  3. Step 3: Cross multiply
    1,971.82x = 2,958.42 × 1,316.32
  4. Step 4: Simplify right side
    1,971.82x = 3,894,227.41
  5. Step 5: Solve for x
    x = 3,894,227.41/1,971.82
  6. Step 6: Final answer
    x = 1,974.94

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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.