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Finding the Fourth Proportional to 1,992.48, 2,749.72 and 1,403.12

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Solution

The fourth proportional to 1,992.48, 2,749.72 and 1,403.12 is: 1,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.48 : 2,749.72 = 1,403.12 : x
  2. Step 2: Convert to fraction form
    1,992.48/2,749.72 = 1,403.12/x
  3. Step 3: Cross multiply
    1,992.48x = 2,749.72 × 1,403.12
  4. Step 4: Simplify right side
    1,992.48x = 3,858,187.13
  5. Step 5: Solve for x
    x = 3,858,187.13/1,992.48
  6. Step 6: Final answer
    x = 1,936.37

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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.