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Finding the Fourth Proportional to 1,647.55, 2,471.23 and 673.64

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Solution

The fourth proportional to 1,647.55, 2,471.23 and 673.64 is: 1,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.55 : 2,471.23 = 673.64 : x
  2. Step 2: Convert to fraction form
    1,647.55/2,471.23 = 673.64/x
  3. Step 3: Cross multiply
    1,647.55x = 2,471.23 × 673.64
  4. Step 4: Simplify right side
    1,647.55x = 1,664,716.01
  5. Step 5: Solve for x
    x = 1,664,716.01/1,647.55
  6. Step 6: Final answer
    x = 1,010.42

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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.