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Finding the Fourth Proportional to 3,069.39, 4,604.84 and 989.60

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Solution

The fourth proportional to 3,069.39, 4,604.84 and 989.60 is: 1,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.39 : 4,604.84 = 989.60 : x
  2. Step 2: Convert to fraction form
    3,069.39/4,604.84 = 989.60/x
  3. Step 3: Cross multiply
    3,069.39x = 4,604.84 × 989.60
  4. Step 4: Simplify right side
    3,069.39x = 4,556,949.66
  5. Step 5: Solve for x
    x = 4,556,949.66/3,069.39
  6. Step 6: Final answer
    x = 1,484.64

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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.