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Finding the Fourth Proportional to 2,276.85, 3,135.74 and 1,751.97

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Solution

The fourth proportional to 2,276.85, 3,135.74 and 1,751.97 is: 2,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.85 : 3,135.74 = 1,751.97 : x
  2. Step 2: Convert to fraction form
    2,276.85/3,135.74 = 1,751.97/x
  3. Step 3: Cross multiply
    2,276.85x = 3,135.74 × 1,751.97
  4. Step 4: Simplify right side
    2,276.85x = 5,493,713.65
  5. Step 5: Solve for x
    x = 5,493,713.65/2,276.85
  6. Step 6: Final answer
    x = 2,412.86

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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.