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Finding the Fourth Proportional to 2,968.82, 4,444.71 and 1,993.17

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Solution

The fourth proportional to 2,968.82, 4,444.71 and 1,993.17 is: 2,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.82 : 4,444.71 = 1,993.17 : x
  2. Step 2: Convert to fraction form
    2,968.82/4,444.71 = 1,993.17/x
  3. Step 3: Cross multiply
    2,968.82x = 4,444.71 × 1,993.17
  4. Step 4: Simplify right side
    2,968.82x = 8,859,062.63
  5. Step 5: Solve for x
    x = 8,859,062.63/2,968.82
  6. Step 6: Final answer
    x = 2,984.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.