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Finding the Fourth Proportional to 3,069.45, 4,604.18 and 989.60

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Solution

The fourth proportional to 3,069.45, 4,604.18 and 989.60 is: 1,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.45 : 4,604.18 = 989.60 : x
  2. Step 2: Convert to fraction form
    3,069.45/4,604.18 = 989.60/x
  3. Step 3: Cross multiply
    3,069.45x = 4,604.18 × 989.60
  4. Step 4: Simplify right side
    3,069.45x = 4,556,305.56
  5. Step 5: Solve for x
    x = 4,556,305.56/3,069.45
  6. Step 6: Final answer
    x = 1,484.41

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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.