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Finding the Fourth Proportional to 1,747.94, 2,412.14 and 961.97

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Solution

The fourth proportional to 1,747.94, 2,412.14 and 961.97 is: 1,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.94 : 2,412.14 = 961.97 : x
  2. Step 2: Convert to fraction form
    1,747.94/2,412.14 = 961.97/x
  3. Step 3: Cross multiply
    1,747.94x = 2,412.14 × 961.97
  4. Step 4: Simplify right side
    1,747.94x = 2,320,389.45
  5. Step 5: Solve for x
    x = 2,320,389.45/1,747.94
  6. Step 6: Final answer
    x = 1,327.50

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1.5x scale

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.