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Finding the Fourth Proportional to 3,409.62, 4,705.74 and 1,993.74

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Solution

The fourth proportional to 3,409.62, 4,705.74 and 1,993.74 is: 2,751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.62 : 4,705.74 = 1,993.74 : x
  2. Step 2: Convert to fraction form
    3,409.62/4,705.74 = 1,993.74/x
  3. Step 3: Cross multiply
    3,409.62x = 4,705.74 × 1,993.74
  4. Step 4: Simplify right side
    3,409.62x = 9,382,022.07
  5. Step 5: Solve for x
    x = 9,382,022.07/3,409.62
  6. Step 6: Final answer
    x = 2,751.63

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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.