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Finding the Fourth Proportional to 2,788.63, 3,847.21 and 1,669.16

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Solution

The fourth proportional to 2,788.63, 3,847.21 and 1,669.16 is: 2,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.63 : 3,847.21 = 1,669.16 : x
  2. Step 2: Convert to fraction form
    2,788.63/3,847.21 = 1,669.16/x
  3. Step 3: Cross multiply
    2,788.63x = 3,847.21 × 1,669.16
  4. Step 4: Simplify right side
    2,788.63x = 6,421,609.04
  5. Step 5: Solve for x
    x = 6,421,609.04/2,788.63
  6. Step 6: Final answer
    x = 2,302.78

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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.