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Finding the Fourth Proportional to 2,267.26, 3,400.26 and 623.41

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Solution

The fourth proportional to 2,267.26, 3,400.26 and 623.41 is: 934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.26 : 3,400.26 = 623.41 : x
  2. Step 2: Convert to fraction form
    2,267.26/3,400.26 = 623.41/x
  3. Step 3: Cross multiply
    2,267.26x = 3,400.26 × 623.41
  4. Step 4: Simplify right side
    2,267.26x = 2,119,756.09
  5. Step 5: Solve for x
    x = 2,119,756.09/2,267.26
  6. Step 6: Final answer
    x = 934.94

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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.