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Finding the Fourth Proportional to 1,957.38, 2,933.44 and 984.18

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Solution

The fourth proportional to 1,957.38, 2,933.44 and 984.18 is: 1,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.38 : 2,933.44 = 984.18 : x
  2. Step 2: Convert to fraction form
    1,957.38/2,933.44 = 984.18/x
  3. Step 3: Cross multiply
    1,957.38x = 2,933.44 × 984.18
  4. Step 4: Simplify right side
    1,957.38x = 2,887,032.98
  5. Step 5: Solve for x
    x = 2,887,032.98/1,957.38
  6. Step 6: Final answer
    x = 1,474.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.