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Finding the Fourth Proportional to 2,456.22, 3,684.66 and 896.02

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Solution

The fourth proportional to 2,456.22, 3,684.66 and 896.02 is: 1,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.22 : 3,684.66 = 896.02 : x
  2. Step 2: Convert to fraction form
    2,456.22/3,684.66 = 896.02/x
  3. Step 3: Cross multiply
    2,456.22x = 3,684.66 × 896.02
  4. Step 4: Simplify right side
    2,456.22x = 3,301,529.05
  5. Step 5: Solve for x
    x = 3,301,529.05/2,456.22
  6. Step 6: Final answer
    x = 1,344.15

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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.