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Finding the Fourth Proportional to 3,059.16, 4,221.44 and 1,733

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Solution

The fourth proportional to 3,059.16, 4,221.44 and 1,733 is: 2,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.16 : 4,221.44 = 1,733 : x
  2. Step 2: Convert to fraction form
    3,059.16/4,221.44 = 1,733/x
  3. Step 3: Cross multiply
    3,059.16x = 4,221.44 × 1,733
  4. Step 4: Simplify right side
    3,059.16x = 7,315,755.52
  5. Step 5: Solve for x
    x = 7,315,755.52/3,059.16
  6. Step 6: Final answer
    x = 2,391.43

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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.