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Finding the Fourth Proportional to 3,141.44, 4,335.22 and 1,744.19

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Solution

The fourth proportional to 3,141.44, 4,335.22 and 1,744.19 is: 2,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.44 : 4,335.22 = 1,744.19 : x
  2. Step 2: Convert to fraction form
    3,141.44/4,335.22 = 1,744.19/x
  3. Step 3: Cross multiply
    3,141.44x = 4,335.22 × 1,744.19
  4. Step 4: Simplify right side
    3,141.44x = 7,561,447.37
  5. Step 5: Solve for x
    x = 7,561,447.37/3,141.44
  6. Step 6: Final answer
    x = 2,407.00

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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.