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Finding the Fourth Proportional to 3,069.72, 4,604.46 and 989.80

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Solution

The fourth proportional to 3,069.72, 4,604.46 and 989.80 is: 1,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.72 : 4,604.46 = 989.80 : x
  2. Step 2: Convert to fraction form
    3,069.72/4,604.46 = 989.80/x
  3. Step 3: Cross multiply
    3,069.72x = 4,604.46 × 989.80
  4. Step 4: Simplify right side
    3,069.72x = 4,557,494.51
  5. Step 5: Solve for x
    x = 4,557,494.51/3,069.72
  6. Step 6: Final answer
    x = 1,484.66

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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.