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Finding the Fourth Proportional to 2,996.93, 4,141.52 and 2,406.44

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Solution

The fourth proportional to 2,996.93, 4,141.52 and 2,406.44 is: 3,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.93 : 4,141.52 = 2,406.44 : x
  2. Step 2: Convert to fraction form
    2,996.93/4,141.52 = 2,406.44/x
  3. Step 3: Cross multiply
    2,996.93x = 4,141.52 × 2,406.44
  4. Step 4: Simplify right side
    2,996.93x = 9,966,286.65
  5. Step 5: Solve for x
    x = 9,966,286.65/2,996.93
  6. Step 6: Final answer
    x = 3,325.50

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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.