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Finding the Fourth Proportional to 1,957.90, 2,935.89 and 969.57

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Solution

The fourth proportional to 1,957.90, 2,935.89 and 969.57 is: 1,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.90 : 2,935.89 = 969.57 : x
  2. Step 2: Convert to fraction form
    1,957.90/2,935.89 = 969.57/x
  3. Step 3: Cross multiply
    1,957.90x = 2,935.89 × 969.57
  4. Step 4: Simplify right side
    1,957.90x = 2,846,550.87
  5. Step 5: Solve for x
    x = 2,846,550.87/1,957.90
  6. Step 6: Final answer
    x = 1,453.88

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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.