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Finding the Fourth Proportional to 2,968.91, 4,097.00 and 1,642.43

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Solution

The fourth proportional to 2,968.91, 4,097.00 and 1,642.43 is: 2,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.91 : 4,097.00 = 1,642.43 : x
  2. Step 2: Convert to fraction form
    2,968.91/4,097.00 = 1,642.43/x
  3. Step 3: Cross multiply
    2,968.91x = 4,097.00 × 1,642.43
  4. Step 4: Simplify right side
    2,968.91x = 6,729,040.82
  5. Step 5: Solve for x
    x = 6,729,040.82/2,968.91
  6. Step 6: Final answer
    x = 2,266.50

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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.