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Finding the Fourth Proportional to 2,267.74, 3,401.57 and 624.28

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Solution

The fourth proportional to 2,267.74, 3,401.57 and 624.28 is: 936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.74 : 3,401.57 = 624.28 : x
  2. Step 2: Convert to fraction form
    2,267.74/3,401.57 = 624.28/x
  3. Step 3: Cross multiply
    2,267.74x = 3,401.57 × 624.28
  4. Step 4: Simplify right side
    2,267.74x = 2,123,532.12
  5. Step 5: Solve for x
    x = 2,123,532.12/2,267.74
  6. Step 6: Final answer
    x = 936.41

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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.