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Finding the Fourth Proportional to 2,214.92, 3,322.34 and 755.08

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Solution

The fourth proportional to 2,214.92, 3,322.34 and 755.08 is: 1,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.92 : 3,322.34 = 755.08 : x
  2. Step 2: Convert to fraction form
    2,214.92/3,322.34 = 755.08/x
  3. Step 3: Cross multiply
    2,214.92x = 3,322.34 × 755.08
  4. Step 4: Simplify right side
    2,214.92x = 2,508,632.49
  5. Step 5: Solve for x
    x = 2,508,632.49/2,214.92
  6. Step 6: Final answer
    x = 1,132.61

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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.