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Finding the Fourth Proportional to 1,749.44, 2,609.38 and 1,647.92

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Solution

The fourth proportional to 1,749.44, 2,609.38 and 1,647.92 is: 2,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.44 : 2,609.38 = 1,647.92 : x
  2. Step 2: Convert to fraction form
    1,749.44/2,609.38 = 1,647.92/x
  3. Step 3: Cross multiply
    1,749.44x = 2,609.38 × 1,647.92
  4. Step 4: Simplify right side
    1,749.44x = 4,300,049.49
  5. Step 5: Solve for x
    x = 4,300,049.49/1,749.44
  6. Step 6: Final answer
    x = 2,457.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.