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Finding the Fourth Proportional to 2,806.17, 3,872.05 and 1,686.84

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Solution

The fourth proportional to 2,806.17, 3,872.05 and 1,686.84 is: 2,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.17 : 3,872.05 = 1,686.84 : x
  2. Step 2: Convert to fraction form
    2,806.17/3,872.05 = 1,686.84/x
  3. Step 3: Cross multiply
    2,806.17x = 3,872.05 × 1,686.84
  4. Step 4: Simplify right side
    2,806.17x = 6,531,528.82
  5. Step 5: Solve for x
    x = 6,531,528.82/2,806.17
  6. Step 6: Final answer
    x = 2,327.56

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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.