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Finding the Fourth Proportional to 2,455.02, 3,682.80 and 811.44

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Solution

The fourth proportional to 2,455.02, 3,682.80 and 811.44 is: 1,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.02 : 3,682.80 = 811.44 : x
  2. Step 2: Convert to fraction form
    2,455.02/3,682.80 = 811.44/x
  3. Step 3: Cross multiply
    2,455.02x = 3,682.80 × 811.44
  4. Step 4: Simplify right side
    2,455.02x = 2,988,371.23
  5. Step 5: Solve for x
    x = 2,988,371.23/2,455.02
  6. Step 6: Final answer
    x = 1,217.25

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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.