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Finding the Fourth Proportional to 4,011.62, 6,018.34 and 1,820.97

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Solution

The fourth proportional to 4,011.62, 6,018.34 and 1,820.97 is: 2,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.62 : 6,018.34 = 1,820.97 : x
  2. Step 2: Convert to fraction form
    4,011.62/6,018.34 = 1,820.97/x
  3. Step 3: Cross multiply
    4,011.62x = 6,018.34 × 1,820.97
  4. Step 4: Simplify right side
    4,011.62x = 10,959,216.59
  5. Step 5: Solve for x
    x = 10,959,216.59/4,011.62
  6. Step 6: Final answer
    x = 2,731.87

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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.