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Finding the Fourth Proportional to 2,132, 3,194.36 and 1,512.64

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Solution

The fourth proportional to 2,132, 3,194.36 and 1,512.64 is: 2,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132 : 3,194.36 = 1,512.64 : x
  2. Step 2: Convert to fraction form
    2,132/3,194.36 = 1,512.64/x
  3. Step 3: Cross multiply
    2,132x = 3,194.36 × 1,512.64
  4. Step 4: Simplify right side
    2,132x = 4,831,916.71
  5. Step 5: Solve for x
    x = 4,831,916.71/2,132
  6. Step 6: Final answer
    x = 2,266.38

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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.