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Finding the Fourth Proportional to 2,991.81, 4,128.92 and 1,733.20

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Solution

The fourth proportional to 2,991.81, 4,128.92 and 1,733.20 is: 2,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.81 : 4,128.92 = 1,733.20 : x
  2. Step 2: Convert to fraction form
    2,991.81/4,128.92 = 1,733.20/x
  3. Step 3: Cross multiply
    2,991.81x = 4,128.92 × 1,733.20
  4. Step 4: Simplify right side
    2,991.81x = 7,156,244.14
  5. Step 5: Solve for x
    x = 7,156,244.14/2,991.81
  6. Step 6: Final answer
    x = 2,391.94

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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.