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Finding the Fourth Proportional to 1,958.99, 2,703.68 and 1,213.19

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Solution

The fourth proportional to 1,958.99, 2,703.68 and 1,213.19 is: 1,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.99 : 2,703.68 = 1,213.19 : x
  2. Step 2: Convert to fraction form
    1,958.99/2,703.68 = 1,213.19/x
  3. Step 3: Cross multiply
    1,958.99x = 2,703.68 × 1,213.19
  4. Step 4: Simplify right side
    1,958.99x = 3,280,077.54
  5. Step 5: Solve for x
    x = 3,280,077.54/1,958.99
  6. Step 6: Final answer
    x = 1,674.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.