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Finding the Fourth Proportional to 1,963.95, 2,710.23 and 1,178.44

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Solution

The fourth proportional to 1,963.95, 2,710.23 and 1,178.44 is: 1,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.95 : 2,710.23 = 1,178.44 : x
  2. Step 2: Convert to fraction form
    1,963.95/2,710.23 = 1,178.44/x
  3. Step 3: Cross multiply
    1,963.95x = 2,710.23 × 1,178.44
  4. Step 4: Simplify right side
    1,963.95x = 3,193,843.44
  5. Step 5: Solve for x
    x = 3,193,843.44/1,963.95
  6. Step 6: Final answer
    x = 1,626.23

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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.