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Finding the Fourth Proportional to 2,146.94, 2,963.18 and 1,263.23

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Solution

The fourth proportional to 2,146.94, 2,963.18 and 1,263.23 is: 1,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.94 : 2,963.18 = 1,263.23 : x
  2. Step 2: Convert to fraction form
    2,146.94/2,963.18 = 1,263.23/x
  3. Step 3: Cross multiply
    2,146.94x = 2,963.18 × 1,263.23
  4. Step 4: Simplify right side
    2,146.94x = 3,743,177.87
  5. Step 5: Solve for x
    x = 3,743,177.87/2,146.94
  6. Step 6: Final answer
    x = 1,743.49

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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.