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Finding the Fourth Proportional to 2,806.35, 3,871.90 and 1,627.19

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Solution

The fourth proportional to 2,806.35, 3,871.90 and 1,627.19 is: 2,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.35 : 3,871.90 = 1,627.19 : x
  2. Step 2: Convert to fraction form
    2,806.35/3,871.90 = 1,627.19/x
  3. Step 3: Cross multiply
    2,806.35x = 3,871.90 × 1,627.19
  4. Step 4: Simplify right side
    2,806.35x = 6,300,314.16
  5. Step 5: Solve for x
    x = 6,300,314.16/2,806.35
  6. Step 6: Final answer
    x = 2,245.02

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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.