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Finding the Fourth Proportional to 2,111.93, 3,169.80 and 1,072.65

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Solution

The fourth proportional to 2,111.93, 3,169.80 and 1,072.65 is: 1,609.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.93 : 3,169.80 = 1,072.65 : x
  2. Step 2: Convert to fraction form
    2,111.93/3,169.80 = 1,072.65/x
  3. Step 3: Cross multiply
    2,111.93x = 3,169.80 × 1,072.65
  4. Step 4: Simplify right side
    2,111.93x = 3,400,085.97
  5. Step 5: Solve for x
    x = 3,400,085.97/2,111.93
  6. Step 6: Final answer
    x = 1,609.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.