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Finding the Fourth Proportional to 2,180.93, 3,272.53 and 795.21

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Solution

The fourth proportional to 2,180.93, 3,272.53 and 795.21 is: 1,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.93 : 3,272.53 = 795.21 : x
  2. Step 2: Convert to fraction form
    2,180.93/3,272.53 = 795.21/x
  3. Step 3: Cross multiply
    2,180.93x = 3,272.53 × 795.21
  4. Step 4: Simplify right side
    2,180.93x = 2,602,339.33
  5. Step 5: Solve for x
    x = 2,602,339.33/2,180.93
  6. Step 6: Final answer
    x = 1,193.22

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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.