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Finding the Fourth Proportional to 2,028.96, 3,043.74 and 730.74

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Solution

The fourth proportional to 2,028.96, 3,043.74 and 730.74 is: 1,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.96 : 3,043.74 = 730.74 : x
  2. Step 2: Convert to fraction form
    2,028.96/3,043.74 = 730.74/x
  3. Step 3: Cross multiply
    2,028.96x = 3,043.74 × 730.74
  4. Step 4: Simplify right side
    2,028.96x = 2,224,182.57
  5. Step 5: Solve for x
    x = 2,224,182.57/2,028.96
  6. Step 6: Final answer
    x = 1,096.22

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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.