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Finding the Fourth Proportional to 1,963.82, 2,704.50 and 1,957.74

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Solution

The fourth proportional to 1,963.82, 2,704.50 and 1,957.74 is: 2,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.82 : 2,704.50 = 1,957.74 : x
  2. Step 2: Convert to fraction form
    1,963.82/2,704.50 = 1,957.74/x
  3. Step 3: Cross multiply
    1,963.82x = 2,704.50 × 1,957.74
  4. Step 4: Simplify right side
    1,963.82x = 5,294,707.83
  5. Step 5: Solve for x
    x = 5,294,707.83/1,963.82
  6. Step 6: Final answer
    x = 2,696.13

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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.