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Finding the Fourth Proportional to 2,626.99, 3,940.70 and 871.93

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Solution

The fourth proportional to 2,626.99, 3,940.70 and 871.93 is: 1,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.99 : 3,940.70 = 871.93 : x
  2. Step 2: Convert to fraction form
    2,626.99/3,940.70 = 871.93/x
  3. Step 3: Cross multiply
    2,626.99x = 3,940.70 × 871.93
  4. Step 4: Simplify right side
    2,626.99x = 3,436,014.55
  5. Step 5: Solve for x
    x = 3,436,014.55/2,626.99
  6. Step 6: Final answer
    x = 1,307.97

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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.