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Finding the Fourth Proportional to 2,469.70, 3,707.44 and 1,950.05

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Solution

The fourth proportional to 2,469.70, 3,707.44 and 1,950.05 is: 2,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.70 : 3,707.44 = 1,950.05 : x
  2. Step 2: Convert to fraction form
    2,469.70/3,707.44 = 1,950.05/x
  3. Step 3: Cross multiply
    2,469.70x = 3,707.44 × 1,950.05
  4. Step 4: Simplify right side
    2,469.70x = 7,229,705.32
  5. Step 5: Solve for x
    x = 7,229,705.32/2,469.70
  6. Step 6: Final answer
    x = 2,927.36

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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.