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Finding the Fourth Proportional to 1,524.46, 2,286.68 and 370.21

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Solution

The fourth proportional to 1,524.46, 2,286.68 and 370.21 is: 555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.46 : 2,286.68 = 370.21 : x
  2. Step 2: Convert to fraction form
    1,524.46/2,286.68 = 370.21/x
  3. Step 3: Cross multiply
    1,524.46x = 2,286.68 × 370.21
  4. Step 4: Simplify right side
    1,524.46x = 846,540.37
  5. Step 5: Solve for x
    x = 846,540.37/1,524.46
  6. Step 6: Final answer
    x = 555.31

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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.