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Finding the Fourth Proportional to 3,131.76, 4,321.44 and 1,734.60

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Solution

The fourth proportional to 3,131.76, 4,321.44 and 1,734.60 is: 2,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.76 : 4,321.44 = 1,734.60 : x
  2. Step 2: Convert to fraction form
    3,131.76/4,321.44 = 1,734.60/x
  3. Step 3: Cross multiply
    3,131.76x = 4,321.44 × 1,734.60
  4. Step 4: Simplify right side
    3,131.76x = 7,495,969.82
  5. Step 5: Solve for x
    x = 7,495,969.82/3,131.76
  6. Step 6: Final answer
    x = 2,393.53

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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.