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Finding the Fourth Proportional to 2,455.05, 3,682.68 and 811.74

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Solution

The fourth proportional to 2,455.05, 3,682.68 and 811.74 is: 1,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.05 : 3,682.68 = 811.74 : x
  2. Step 2: Convert to fraction form
    2,455.05/3,682.68 = 811.74/x
  3. Step 3: Cross multiply
    2,455.05x = 3,682.68 × 811.74
  4. Step 4: Simplify right side
    2,455.05x = 2,989,378.66
  5. Step 5: Solve for x
    x = 2,989,378.66/2,455.05
  6. Step 6: Final answer
    x = 1,217.64

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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.