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Finding the Fourth Proportional to 3,085.68, 4,626.48 and 1,524.96

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Solution

The fourth proportional to 3,085.68, 4,626.48 and 1,524.96 is: 2,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.68 : 4,626.48 = 1,524.96 : x
  2. Step 2: Convert to fraction form
    3,085.68/4,626.48 = 1,524.96/x
  3. Step 3: Cross multiply
    3,085.68x = 4,626.48 × 1,524.96
  4. Step 4: Simplify right side
    3,085.68x = 7,055,196.94
  5. Step 5: Solve for x
    x = 7,055,196.94/3,085.68
  6. Step 6: Final answer
    x = 2,286.43

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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.