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Finding the Fourth Proportional to 2,806.95, 3,872.35 and 1,744.43

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Solution

The fourth proportional to 2,806.95, 3,872.35 and 1,744.43 is: 2,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.95 : 3,872.35 = 1,744.43 : x
  2. Step 2: Convert to fraction form
    2,806.95/3,872.35 = 1,744.43/x
  3. Step 3: Cross multiply
    2,806.95x = 3,872.35 × 1,744.43
  4. Step 4: Simplify right side
    2,806.95x = 6,755,043.51
  5. Step 5: Solve for x
    x = 6,755,043.51/2,806.95
  6. Step 6: Final answer
    x = 2,406.54

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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.