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Finding the Fourth Proportional to 2,454.76, 3,682.70 and 811.36

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Solution

The fourth proportional to 2,454.76, 3,682.70 and 811.36 is: 1,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.76 : 3,682.70 = 811.36 : x
  2. Step 2: Convert to fraction form
    2,454.76/3,682.70 = 811.36/x
  3. Step 3: Cross multiply
    2,454.76x = 3,682.70 × 811.36
  4. Step 4: Simplify right side
    2,454.76x = 2,987,995.47
  5. Step 5: Solve for x
    x = 2,987,995.47/2,454.76
  6. Step 6: Final answer
    x = 1,217.23

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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.