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Finding the Fourth Proportional to 1,974.98, 2,724.69 and 1,188.92

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Solution

The fourth proportional to 1,974.98, 2,724.69 and 1,188.92 is: 1,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.98 : 2,724.69 = 1,188.92 : x
  2. Step 2: Convert to fraction form
    1,974.98/2,724.69 = 1,188.92/x
  3. Step 3: Cross multiply
    1,974.98x = 2,724.69 × 1,188.92
  4. Step 4: Simplify right side
    1,974.98x = 3,239,438.43
  5. Step 5: Solve for x
    x = 3,239,438.43/1,974.98
  6. Step 6: Final answer
    x = 1,640.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.