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Finding the Fourth Proportional to 3,051.75, 4,211.43 and 1,809.75

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Solution

The fourth proportional to 3,051.75, 4,211.43 and 1,809.75 is: 2,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.75 : 4,211.43 = 1,809.75 : x
  2. Step 2: Convert to fraction form
    3,051.75/4,211.43 = 1,809.75/x
  3. Step 3: Cross multiply
    3,051.75x = 4,211.43 × 1,809.75
  4. Step 4: Simplify right side
    3,051.75x = 7,621,635.44
  5. Step 5: Solve for x
    x = 7,621,635.44/3,051.75
  6. Step 6: Final answer
    x = 2,497.46

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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.