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Finding the Fourth Proportional to 3,138.60, 4,331.22 and 1,741.32

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Solution

The fourth proportional to 3,138.60, 4,331.22 and 1,741.32 is: 2,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.60 : 4,331.22 = 1,741.32 : x
  2. Step 2: Convert to fraction form
    3,138.60/4,331.22 = 1,741.32/x
  3. Step 3: Cross multiply
    3,138.60x = 4,331.22 × 1,741.32
  4. Step 4: Simplify right side
    3,138.60x = 7,542,040.01
  5. Step 5: Solve for x
    x = 7,542,040.01/3,138.60
  6. Step 6: Final answer
    x = 2,402.99

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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.