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Finding the Fourth Proportional to 3,132.44, 4,322.74 and 1,735.16

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Solution

The fourth proportional to 3,132.44, 4,322.74 and 1,735.16 is: 2,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.44 : 4,322.74 = 1,735.16 : x
  2. Step 2: Convert to fraction form
    3,132.44/4,322.74 = 1,735.16/x
  3. Step 3: Cross multiply
    3,132.44x = 4,322.74 × 1,735.16
  4. Step 4: Simplify right side
    3,132.44x = 7,500,645.54
  5. Step 5: Solve for x
    x = 7,500,645.54/3,132.44
  6. Step 6: Final answer
    x = 2,394.51

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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.