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Finding the Fourth Proportional to 2,455.23, 3,682.33 and 811.40

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Solution

The fourth proportional to 2,455.23, 3,682.33 and 811.40 is: 1,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.23 : 3,682.33 = 811.40 : x
  2. Step 2: Convert to fraction form
    2,455.23/3,682.33 = 811.40/x
  3. Step 3: Cross multiply
    2,455.23x = 3,682.33 × 811.40
  4. Step 4: Simplify right side
    2,455.23x = 2,987,822.12
  5. Step 5: Solve for x
    x = 2,987,822.12/2,455.23
  6. Step 6: Final answer
    x = 1,216.92

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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.