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Finding the Fourth Proportional to 2,456.46, 3,684.99 and 813.18

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Solution

The fourth proportional to 2,456.46, 3,684.99 and 813.18 is: 1,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.46 : 3,684.99 = 813.18 : x
  2. Step 2: Convert to fraction form
    2,456.46/3,684.99 = 813.18/x
  3. Step 3: Cross multiply
    2,456.46x = 3,684.99 × 813.18
  4. Step 4: Simplify right side
    2,456.46x = 2,996,560.17
  5. Step 5: Solve for x
    x = 2,996,560.17/2,456.46
  6. Step 6: Final answer
    x = 1,219.87

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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.