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Finding the Fourth Proportional to 3,205.49, 4,808.92 and 984.32

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Solution

The fourth proportional to 3,205.49, 4,808.92 and 984.32 is: 1,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.49 : 4,808.92 = 984.32 : x
  2. Step 2: Convert to fraction form
    3,205.49/4,808.92 = 984.32/x
  3. Step 3: Cross multiply
    3,205.49x = 4,808.92 × 984.32
  4. Step 4: Simplify right side
    3,205.49x = 4,733,525.70
  5. Step 5: Solve for x
    x = 4,733,525.70/3,205.49
  6. Step 6: Final answer
    x = 1,476.70

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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.