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Finding the Fourth Proportional to 1,747.93, 2,412.16 and 961.98

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Solution

The fourth proportional to 1,747.93, 2,412.16 and 961.98 is: 1,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.93 : 2,412.16 = 961.98 : x
  2. Step 2: Convert to fraction form
    1,747.93/2,412.16 = 961.98/x
  3. Step 3: Cross multiply
    1,747.93x = 2,412.16 × 961.98
  4. Step 4: Simplify right side
    1,747.93x = 2,320,449.68
  5. Step 5: Solve for x
    x = 2,320,449.68/1,747.93
  6. Step 6: Final answer
    x = 1,327.54

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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.