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Finding the Fourth Proportional to 2,456.57, 3,685.01 and 813.14

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Solution

The fourth proportional to 2,456.57, 3,685.01 and 813.14 is: 1,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.57 : 3,685.01 = 813.14 : x
  2. Step 2: Convert to fraction form
    2,456.57/3,685.01 = 813.14/x
  3. Step 3: Cross multiply
    2,456.57x = 3,685.01 × 813.14
  4. Step 4: Simplify right side
    2,456.57x = 2,996,406.54
  5. Step 5: Solve for x
    x = 2,996,406.54/2,456.57
  6. Step 6: Final answer
    x = 1,219.75

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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.