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Finding the Fourth Proportional to 3,029.73, 4,543.71 and 1,180.43

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Solution

The fourth proportional to 3,029.73, 4,543.71 and 1,180.43 is: 1,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.73 : 4,543.71 = 1,180.43 : x
  2. Step 2: Convert to fraction form
    3,029.73/4,543.71 = 1,180.43/x
  3. Step 3: Cross multiply
    3,029.73x = 4,543.71 × 1,180.43
  4. Step 4: Simplify right side
    3,029.73x = 5,363,508.88
  5. Step 5: Solve for x
    x = 5,363,508.88/3,029.73
  6. Step 6: Final answer
    x = 1,770.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.