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Finding the Fourth Proportional to 2,185.83, 3,017.97 and 1,687.68

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Solution

The fourth proportional to 2,185.83, 3,017.97 and 1,687.68 is: 2,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.83 : 3,017.97 = 1,687.68 : x
  2. Step 2: Convert to fraction form
    2,185.83/3,017.97 = 1,687.68/x
  3. Step 3: Cross multiply
    2,185.83x = 3,017.97 × 1,687.68
  4. Step 4: Simplify right side
    2,185.83x = 5,093,367.61
  5. Step 5: Solve for x
    x = 5,093,367.61/2,185.83
  6. Step 6: Final answer
    x = 2,330.18

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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.