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Finding the Fourth Proportional to 1,524.42, 2,286.61 and 370.17

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Solution

The fourth proportional to 1,524.42, 2,286.61 and 370.17 is: 555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.42 : 2,286.61 = 370.17 : x
  2. Step 2: Convert to fraction form
    1,524.42/2,286.61 = 370.17/x
  3. Step 3: Cross multiply
    1,524.42x = 2,286.61 × 370.17
  4. Step 4: Simplify right side
    1,524.42x = 846,434.42
  5. Step 5: Solve for x
    x = 846,434.42/1,524.42
  6. Step 6: Final answer
    x = 555.25

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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.