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Finding the Fourth Proportional to 3,032, 4,185.24 and 1,790

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Solution

The fourth proportional to 3,032, 4,185.24 and 1,790 is: 2,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032 : 4,185.24 = 1,790 : x
  2. Step 2: Convert to fraction form
    3,032/4,185.24 = 1,790/x
  3. Step 3: Cross multiply
    3,032x = 4,185.24 × 1,790
  4. Step 4: Simplify right side
    3,032x = 7,491,579.60
  5. Step 5: Solve for x
    x = 7,491,579.60/3,032
  6. Step 6: Final answer
    x = 2,470.84

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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.