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Finding the Fourth Proportional to 1,541.44, 2,311.71 and 445.87

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Solution

The fourth proportional to 1,541.44, 2,311.71 and 445.87 is: 668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.44 : 2,311.71 = 445.87 : x
  2. Step 2: Convert to fraction form
    1,541.44/2,311.71 = 445.87/x
  3. Step 3: Cross multiply
    1,541.44x = 2,311.71 × 445.87
  4. Step 4: Simplify right side
    1,541.44x = 1,030,722.14
  5. Step 5: Solve for x
    x = 1,030,722.14/1,541.44
  6. Step 6: Final answer
    x = 668.67

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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.