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Finding the Fourth Proportional to 3,379.48, 4,661.74 and 2,034.16

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Solution

The fourth proportional to 3,379.48, 4,661.74 and 2,034.16 is: 2,805.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.48 : 4,661.74 = 2,034.16 : x
  2. Step 2: Convert to fraction form
    3,379.48/4,661.74 = 2,034.16/x
  3. Step 3: Cross multiply
    3,379.48x = 4,661.74 × 2,034.16
  4. Step 4: Simplify right side
    3,379.48x = 9,482,725.04
  5. Step 5: Solve for x
    x = 9,482,725.04/3,379.48
  6. Step 6: Final answer
    x = 2,805.97

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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.