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Finding the Fourth Proportional to 3,160.17, 4,734.32 and 2,643.48

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Solution

The fourth proportional to 3,160.17, 4,734.32 and 2,643.48 is: 3,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.17 : 4,734.32 = 2,643.48 : x
  2. Step 2: Convert to fraction form
    3,160.17/4,734.32 = 2,643.48/x
  3. Step 3: Cross multiply
    3,160.17x = 4,734.32 × 2,643.48
  4. Step 4: Simplify right side
    3,160.17x = 12,515,067.02
  5. Step 5: Solve for x
    x = 12,515,067.02/3,160.17
  6. Step 6: Final answer
    x = 3,960.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.