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Finding the Fourth Proportional to 1,647.23, 2,471.51 and 673.43

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Solution

The fourth proportional to 1,647.23, 2,471.51 and 673.43 is: 1,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.23 : 2,471.51 = 673.43 : x
  2. Step 2: Convert to fraction form
    1,647.23/2,471.51 = 673.43/x
  3. Step 3: Cross multiply
    1,647.23x = 2,471.51 × 673.43
  4. Step 4: Simplify right side
    1,647.23x = 1,664,373.25
  5. Step 5: Solve for x
    x = 1,664,373.25/1,647.23
  6. Step 6: Final answer
    x = 1,010.41

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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.