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Finding the Fourth Proportional to 1,635.33, 2,455.47 and 816.42

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Solution

The fourth proportional to 1,635.33, 2,455.47 and 816.42 is: 1,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.33 : 2,455.47 = 816.42 : x
  2. Step 2: Convert to fraction form
    1,635.33/2,455.47 = 816.42/x
  3. Step 3: Cross multiply
    1,635.33x = 2,455.47 × 816.42
  4. Step 4: Simplify right side
    1,635.33x = 2,004,694.82
  5. Step 5: Solve for x
    x = 2,004,694.82/1,635.33
  6. Step 6: Final answer
    x = 1,225.87

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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.