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Finding the Fourth Proportional to 2,454.61, 3,682.47 and 811.33

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Solution

The fourth proportional to 2,454.61, 3,682.47 and 811.33 is: 1,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.61 : 3,682.47 = 811.33 : x
  2. Step 2: Convert to fraction form
    2,454.61/3,682.47 = 811.33/x
  3. Step 3: Cross multiply
    2,454.61x = 3,682.47 × 811.33
  4. Step 4: Simplify right side
    2,454.61x = 2,987,698.39
  5. Step 5: Solve for x
    x = 2,987,698.39/2,454.61
  6. Step 6: Final answer
    x = 1,217.18

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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.