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Finding the Fourth Proportional to 4,161.94, 6,243.05 and 1,820.74

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Solution

The fourth proportional to 4,161.94, 6,243.05 and 1,820.74 is: 2,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.94 : 6,243.05 = 1,820.74 : x
  2. Step 2: Convert to fraction form
    4,161.94/6,243.05 = 1,820.74/x
  3. Step 3: Cross multiply
    4,161.94x = 6,243.05 × 1,820.74
  4. Step 4: Simplify right side
    4,161.94x = 11,366,970.86
  5. Step 5: Solve for x
    x = 11,366,970.86/4,161.94
  6. Step 6: Final answer
    x = 2,731.17

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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.