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Finding the Fourth Proportional to 3,032.70, 4,185.17 and 1,773.47

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Solution

The fourth proportional to 3,032.70, 4,185.17 and 1,773.47 is: 2,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.70 : 4,185.17 = 1,773.47 : x
  2. Step 2: Convert to fraction form
    3,032.70/4,185.17 = 1,773.47/x
  3. Step 3: Cross multiply
    3,032.70x = 4,185.17 × 1,773.47
  4. Step 4: Simplify right side
    3,032.70x = 7,422,273.44
  5. Step 5: Solve for x
    x = 7,422,273.44/3,032.70
  6. Step 6: Final answer
    x = 2,447.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.