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Finding the Fourth Proportional to 2,456.28, 3,684.96 and 813.33

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Solution

The fourth proportional to 2,456.28, 3,684.96 and 813.33 is: 1,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.28 : 3,684.96 = 813.33 : x
  2. Step 2: Convert to fraction form
    2,456.28/3,684.96 = 813.33/x
  3. Step 3: Cross multiply
    2,456.28x = 3,684.96 × 813.33
  4. Step 4: Simplify right side
    2,456.28x = 2,997,088.52
  5. Step 5: Solve for x
    x = 2,997,088.52/2,456.28
  6. Step 6: Final answer
    x = 1,220.17

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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.