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Finding the Fourth Proportional to 2,456.82, 3,684.62 and 896.53

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Solution

The fourth proportional to 2,456.82, 3,684.62 and 896.53 is: 1,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.82 : 3,684.62 = 896.53 : x
  2. Step 2: Convert to fraction form
    2,456.82/3,684.62 = 896.53/x
  3. Step 3: Cross multiply
    2,456.82x = 3,684.62 × 896.53
  4. Step 4: Simplify right side
    2,456.82x = 3,303,372.37
  5. Step 5: Solve for x
    x = 3,303,372.37/2,456.82
  6. Step 6: Final answer
    x = 1,344.57

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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.