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Finding the Fourth Proportional to 2,007.93, 3,011.43 and 967.26

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Solution

The fourth proportional to 2,007.93, 3,011.43 and 967.26 is: 1,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.93 : 3,011.43 = 967.26 : x
  2. Step 2: Convert to fraction form
    2,007.93/3,011.43 = 967.26/x
  3. Step 3: Cross multiply
    2,007.93x = 3,011.43 × 967.26
  4. Step 4: Simplify right side
    2,007.93x = 2,912,835.78
  5. Step 5: Solve for x
    x = 2,912,835.78/2,007.93
  6. Step 6: Final answer
    x = 1,450.67

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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.