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Finding the Fourth Proportional to 2,185.93, 3,262.09 and 1,952.38

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Solution

The fourth proportional to 2,185.93, 3,262.09 and 1,952.38 is: 2,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.93 : 3,262.09 = 1,952.38 : x
  2. Step 2: Convert to fraction form
    2,185.93/3,262.09 = 1,952.38/x
  3. Step 3: Cross multiply
    2,185.93x = 3,262.09 × 1,952.38
  4. Step 4: Simplify right side
    2,185.93x = 6,368,839.27
  5. Step 5: Solve for x
    x = 6,368,839.27/2,185.93
  6. Step 6: Final answer
    x = 2,913.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.