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Finding the Fourth Proportional to 1,957.95, 2,936.92 and 1,843.84

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Solution

The fourth proportional to 1,957.95, 2,936.92 and 1,843.84 is: 2,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.95 : 2,936.92 = 1,843.84 : x
  2. Step 2: Convert to fraction form
    1,957.95/2,936.92 = 1,843.84/x
  3. Step 3: Cross multiply
    1,957.95x = 2,936.92 × 1,843.84
  4. Step 4: Simplify right side
    1,957.95x = 5,415,210.57
  5. Step 5: Solve for x
    x = 5,415,210.57/1,957.95
  6. Step 6: Final answer
    x = 2,765.76

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1.5x scale

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.