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Finding the Fourth Proportional to 2,969.33, 4,097.39 and 1,642.82

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Solution

The fourth proportional to 2,969.33, 4,097.39 and 1,642.82 is: 2,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.33 : 4,097.39 = 1,642.82 : x
  2. Step 2: Convert to fraction form
    2,969.33/4,097.39 = 1,642.82/x
  3. Step 3: Cross multiply
    2,969.33x = 4,097.39 × 1,642.82
  4. Step 4: Simplify right side
    2,969.33x = 6,731,245.54
  5. Step 5: Solve for x
    x = 6,731,245.54/2,969.33
  6. Step 6: Final answer
    x = 2,266.93

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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.