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Finding the Fourth Proportional to 2,458.44, 3,687.82 and 816.12

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Solution

The fourth proportional to 2,458.44, 3,687.82 and 816.12 is: 1,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.44 : 3,687.82 = 816.12 : x
  2. Step 2: Convert to fraction form
    2,458.44/3,687.82 = 816.12/x
  3. Step 3: Cross multiply
    2,458.44x = 3,687.82 × 816.12
  4. Step 4: Simplify right side
    2,458.44x = 3,009,701.62
  5. Step 5: Solve for x
    x = 3,009,701.62/2,458.44
  6. Step 6: Final answer
    x = 1,224.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.