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Finding the Fourth Proportional to 6,180.71, 9,272.27 and 1,798.20

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Solution

The fourth proportional to 6,180.71, 9,272.27 and 1,798.20 is: 2,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.71 : 9,272.27 = 1,798.20 : x
  2. Step 2: Convert to fraction form
    6,180.71/9,272.27 = 1,798.20/x
  3. Step 3: Cross multiply
    6,180.71x = 9,272.27 × 1,798.20
  4. Step 4: Simplify right side
    6,180.71x = 16,673,400.41
  5. Step 5: Solve for x
    x = 16,673,400.41/6,180.71
  6. Step 6: Final answer
    x = 2,697.65

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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.