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Finding the Fourth Proportional to 2,806.29, 4,211.46 and 1,346.28

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Solution

The fourth proportional to 2,806.29, 4,211.46 and 1,346.28 is: 2,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.29 : 4,211.46 = 1,346.28 : x
  2. Step 2: Convert to fraction form
    2,806.29/4,211.46 = 1,346.28/x
  3. Step 3: Cross multiply
    2,806.29x = 4,211.46 × 1,346.28
  4. Step 4: Simplify right side
    2,806.29x = 5,669,804.37
  5. Step 5: Solve for x
    x = 5,669,804.37/2,806.29
  6. Step 6: Final answer
    x = 2,020.39

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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.