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Finding the Fourth Proportional to 2,944.83, 4,062.06 and 1,749

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Solution

The fourth proportional to 2,944.83, 4,062.06 and 1,749 is: 2,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.83 : 4,062.06 = 1,749 : x
  2. Step 2: Convert to fraction form
    2,944.83/4,062.06 = 1,749/x
  3. Step 3: Cross multiply
    2,944.83x = 4,062.06 × 1,749
  4. Step 4: Simplify right side
    2,944.83x = 7,104,542.94
  5. Step 5: Solve for x
    x = 7,104,542.94/2,944.83
  6. Step 6: Final answer
    x = 2,412.55

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