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Finding the Fourth Proportional to 2,274.85, 3,412.46 and 631.27

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Solution

The fourth proportional to 2,274.85, 3,412.46 and 631.27 is: 946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.85 : 3,412.46 = 631.27 : x
  2. Step 2: Convert to fraction form
    2,274.85/3,412.46 = 631.27/x
  3. Step 3: Cross multiply
    2,274.85x = 3,412.46 × 631.27
  4. Step 4: Simplify right side
    2,274.85x = 2,154,183.62
  5. Step 5: Solve for x
    x = 2,154,183.62/2,274.85
  6. Step 6: Final answer
    x = 946.96

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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.