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Finding the Fourth Proportional to 3,023.70, 4,170.20 and 1,843.94

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Solution

The fourth proportional to 3,023.70, 4,170.20 and 1,843.94 is: 2,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.70 : 4,170.20 = 1,843.94 : x
  2. Step 2: Convert to fraction form
    3,023.70/4,170.20 = 1,843.94/x
  3. Step 3: Cross multiply
    3,023.70x = 4,170.20 × 1,843.94
  4. Step 4: Simplify right side
    3,023.70x = 7,689,598.59
  5. Step 5: Solve for x
    x = 7,689,598.59/3,023.70
  6. Step 6: Final answer
    x = 2,543.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.