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Finding the Fourth Proportional to 3,083.51, 4,254.31 and 1,824.68

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Solution

The fourth proportional to 3,083.51, 4,254.31 and 1,824.68 is: 2,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.51 : 4,254.31 = 1,824.68 : x
  2. Step 2: Convert to fraction form
    3,083.51/4,254.31 = 1,824.68/x
  3. Step 3: Cross multiply
    3,083.51x = 4,254.31 × 1,824.68
  4. Step 4: Simplify right side
    3,083.51x = 7,762,754.37
  5. Step 5: Solve for x
    x = 7,762,754.37/3,083.51
  6. Step 6: Final answer
    x = 2,517.51

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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.