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Finding the Fourth Proportional to 2,142.64, 3,213.93 and 1,271.19

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Solution

The fourth proportional to 2,142.64, 3,213.93 and 1,271.19 is: 1,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.64 : 3,213.93 = 1,271.19 : x
  2. Step 2: Convert to fraction form
    2,142.64/3,213.93 = 1,271.19/x
  3. Step 3: Cross multiply
    2,142.64x = 3,213.93 × 1,271.19
  4. Step 4: Simplify right side
    2,142.64x = 4,085,515.68
  5. Step 5: Solve for x
    x = 4,085,515.68/2,142.64
  6. Step 6: Final answer
    x = 1,906.77

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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.