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Finding the Fourth Proportional to 2,270.09, 3,404.87 and 626.87

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Solution

The fourth proportional to 2,270.09, 3,404.87 and 626.87 is: 940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.09 : 3,404.87 = 626.87 : x
  2. Step 2: Convert to fraction form
    2,270.09/3,404.87 = 626.87/x
  3. Step 3: Cross multiply
    2,270.09x = 3,404.87 × 626.87
  4. Step 4: Simplify right side
    2,270.09x = 2,134,395.40
  5. Step 5: Solve for x
    x = 2,134,395.40/2,270.09
  6. Step 6: Final answer
    x = 940.23

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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.