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Finding the Fourth Proportional to 2,143.64, 2,958.28 and 1,212.16

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Solution

The fourth proportional to 2,143.64, 2,958.28 and 1,212.16 is: 1,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.64 : 2,958.28 = 1,212.16 : x
  2. Step 2: Convert to fraction form
    2,143.64/2,958.28 = 1,212.16/x
  3. Step 3: Cross multiply
    2,143.64x = 2,958.28 × 1,212.16
  4. Step 4: Simplify right side
    2,143.64x = 3,585,908.68
  5. Step 5: Solve for x
    x = 3,585,908.68/2,143.64
  6. Step 6: Final answer
    x = 1,672.81

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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.