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Finding the Fourth Proportional to 3,211.34, 4,431.75 and 1,795.09

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Solution

The fourth proportional to 3,211.34, 4,431.75 and 1,795.09 is: 2,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.34 : 4,431.75 = 1,795.09 : x
  2. Step 2: Convert to fraction form
    3,211.34/4,431.75 = 1,795.09/x
  3. Step 3: Cross multiply
    3,211.34x = 4,431.75 × 1,795.09
  4. Step 4: Simplify right side
    3,211.34x = 7,955,390.11
  5. Step 5: Solve for x
    x = 7,955,390.11/3,211.34
  6. Step 6: Final answer
    x = 2,477.28

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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.