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Finding the Fourth Proportional to 6,180.56, 9,272.42 and 1,798.02

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Solution

The fourth proportional to 6,180.56, 9,272.42 and 1,798.02 is: 2,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.56 : 9,272.42 = 1,798.02 : x
  2. Step 2: Convert to fraction form
    6,180.56/9,272.42 = 1,798.02/x
  3. Step 3: Cross multiply
    6,180.56x = 9,272.42 × 1,798.02
  4. Step 4: Simplify right side
    6,180.56x = 16,671,950.25
  5. Step 5: Solve for x
    x = 16,671,950.25/6,180.56
  6. Step 6: Final answer
    x = 2,697.48

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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.