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Finding the Fourth Proportional to 2,963.82, 4,089.59 and 1,768.44

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Solution

The fourth proportional to 2,963.82, 4,089.59 and 1,768.44 is: 2,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.82 : 4,089.59 = 1,768.44 : x
  2. Step 2: Convert to fraction form
    2,963.82/4,089.59 = 1,768.44/x
  3. Step 3: Cross multiply
    2,963.82x = 4,089.59 × 1,768.44
  4. Step 4: Simplify right side
    2,963.82x = 7,232,185.70
  5. Step 5: Solve for x
    x = 7,232,185.70/2,963.82
  6. Step 6: Final answer
    x = 2,440.16

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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.