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Finding the Fourth Proportional to 2,141.64, 3,209.22 and 1,979.64

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Solution

The fourth proportional to 2,141.64, 3,209.22 and 1,979.64 is: 2,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.64 : 3,209.22 = 1,979.64 : x
  2. Step 2: Convert to fraction form
    2,141.64/3,209.22 = 1,979.64/x
  3. Step 3: Cross multiply
    2,141.64x = 3,209.22 × 1,979.64
  4. Step 4: Simplify right side
    2,141.64x = 6,353,100.28
  5. Step 5: Solve for x
    x = 6,353,100.28/2,141.64
  6. Step 6: Final answer
    x = 2,966.47

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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.