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Finding the Fourth Proportional to 2,806.86, 4,211.19 and 1,346.13

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Solution

The fourth proportional to 2,806.86, 4,211.19 and 1,346.13 is: 2,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.86 : 4,211.19 = 1,346.13 : x
  2. Step 2: Convert to fraction form
    2,806.86/4,211.19 = 1,346.13/x
  3. Step 3: Cross multiply
    2,806.86x = 4,211.19 × 1,346.13
  4. Step 4: Simplify right side
    2,806.86x = 5,668,809.19
  5. Step 5: Solve for x
    x = 5,668,809.19/2,806.86
  6. Step 6: Final answer
    x = 2,019.63

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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.