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Finding the Fourth Proportional to 2,574.45, 3,861.68 and 626.64

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Solution

The fourth proportional to 2,574.45, 3,861.68 and 626.64 is: 939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.45 : 3,861.68 = 626.64 : x
  2. Step 2: Convert to fraction form
    2,574.45/3,861.68 = 626.64/x
  3. Step 3: Cross multiply
    2,574.45x = 3,861.68 × 626.64
  4. Step 4: Simplify right side
    2,574.45x = 2,419,880.02
  5. Step 5: Solve for x
    x = 2,419,880.02/2,574.45
  6. Step 6: Final answer
    x = 939.96

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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.