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Finding the Fourth Proportional to 2,199.10, 3,299.52 and 965.65

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Solution

The fourth proportional to 2,199.10, 3,299.52 and 965.65 is: 1,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.10 : 3,299.52 = 965.65 : x
  2. Step 2: Convert to fraction form
    2,199.10/3,299.52 = 965.65/x
  3. Step 3: Cross multiply
    2,199.10x = 3,299.52 × 965.65
  4. Step 4: Simplify right side
    2,199.10x = 3,186,181.49
  5. Step 5: Solve for x
    x = 3,186,181.49/2,199.10
  6. Step 6: Final answer
    x = 1,448.86

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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.