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Finding the Fourth Proportional to 2,219.50, 3,329.16 and 659.44

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Solution

The fourth proportional to 2,219.50, 3,329.16 and 659.44 is: 989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.50 : 3,329.16 = 659.44 : x
  2. Step 2: Convert to fraction form
    2,219.50/3,329.16 = 659.44/x
  3. Step 3: Cross multiply
    2,219.50x = 3,329.16 × 659.44
  4. Step 4: Simplify right side
    2,219.50x = 2,195,381.27
  5. Step 5: Solve for x
    x = 2,195,381.27/2,219.50
  6. Step 6: Final answer
    x = 989.13

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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.