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Finding the Fourth Proportional to 1,647.48, 2,471.49 and 673.32

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Solution

The fourth proportional to 1,647.48, 2,471.49 and 673.32 is: 1,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.48 : 2,471.49 = 673.32 : x
  2. Step 2: Convert to fraction form
    1,647.48/2,471.49 = 673.32/x
  3. Step 3: Cross multiply
    1,647.48x = 2,471.49 × 673.32
  4. Step 4: Simplify right side
    1,647.48x = 1,664,103.65
  5. Step 5: Solve for x
    x = 1,664,103.65/1,647.48
  6. Step 6: Final answer
    x = 1,010.09

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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.