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Finding the Fourth Proportional to 2,789.69, 3,849.89 and 1,670.41

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Solution

The fourth proportional to 2,789.69, 3,849.89 and 1,670.41 is: 2,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.69 : 3,849.89 = 1,670.41 : x
  2. Step 2: Convert to fraction form
    2,789.69/3,849.89 = 1,670.41/x
  3. Step 3: Cross multiply
    2,789.69x = 3,849.89 × 1,670.41
  4. Step 4: Simplify right side
    2,789.69x = 6,430,894.75
  5. Step 5: Solve for x
    x = 6,430,894.75/2,789.69
  6. Step 6: Final answer
    x = 2,305.24

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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.