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Finding the Fourth Proportional to 2,454.91, 3,682.41 and 811.60

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Solution

The fourth proportional to 2,454.91, 3,682.41 and 811.60 is: 1,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.91 : 3,682.41 = 811.60 : x
  2. Step 2: Convert to fraction form
    2,454.91/3,682.41 = 811.60/x
  3. Step 3: Cross multiply
    2,454.91x = 3,682.41 × 811.60
  4. Step 4: Simplify right side
    2,454.91x = 2,988,643.96
  5. Step 5: Solve for x
    x = 2,988,643.96/2,454.91
  6. Step 6: Final answer
    x = 1,217.41

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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.