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Finding the Fourth Proportional to 2,626.87, 3,940.53 and 871.50

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Solution

The fourth proportional to 2,626.87, 3,940.53 and 871.50 is: 1,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.87 : 3,940.53 = 871.50 : x
  2. Step 2: Convert to fraction form
    2,626.87/3,940.53 = 871.50/x
  3. Step 3: Cross multiply
    2,626.87x = 3,940.53 × 871.50
  4. Step 4: Simplify right side
    2,626.87x = 3,434,150.01
  5. Step 5: Solve for x
    x = 3,434,150.01/2,626.87
  6. Step 6: Final answer
    x = 1,307.32

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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.