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Finding the Fourth Proportional to 2,250.96, 3,377.97 and 790.09

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Solution

The fourth proportional to 2,250.96, 3,377.97 and 790.09 is: 1,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.96 : 3,377.97 = 790.09 : x
  2. Step 2: Convert to fraction form
    2,250.96/3,377.97 = 790.09/x
  3. Step 3: Cross multiply
    2,250.96x = 3,377.97 × 790.09
  4. Step 4: Simplify right side
    2,250.96x = 2,668,900.32
  5. Step 5: Solve for x
    x = 2,668,900.32/2,250.96
  6. Step 6: Final answer
    x = 1,185.67

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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.