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Finding the Fourth Proportional to 2,267.64, 3,401.40 and 624.20

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Solution

The fourth proportional to 2,267.64, 3,401.40 and 624.20 is: 936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.64 : 3,401.40 = 624.20 : x
  2. Step 2: Convert to fraction form
    2,267.64/3,401.40 = 624.20/x
  3. Step 3: Cross multiply
    2,267.64x = 3,401.40 × 624.20
  4. Step 4: Simplify right side
    2,267.64x = 2,123,136.87
  5. Step 5: Solve for x
    x = 2,123,136.87/2,267.64
  6. Step 6: Final answer
    x = 936.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.