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Finding the Fourth Proportional to 3,443.92, 4,749.44 and 2,262.94

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Solution

The fourth proportional to 3,443.92, 4,749.44 and 2,262.94 is: 3,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.92 : 4,749.44 = 2,262.94 : x
  2. Step 2: Convert to fraction form
    3,443.92/4,749.44 = 2,262.94/x
  3. Step 3: Cross multiply
    3,443.92x = 4,749.44 × 2,262.94
  4. Step 4: Simplify right side
    3,443.92x = 10,747,674.57
  5. Step 5: Solve for x
    x = 10,747,674.57/3,443.92
  6. Step 6: Final answer
    x = 3,120.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.