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Finding the Fourth Proportional to 2,149.91, 2,965.81 and 1,354.22

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Solution

The fourth proportional to 2,149.91, 2,965.81 and 1,354.22 is: 1,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.91 : 2,965.81 = 1,354.22 : x
  2. Step 2: Convert to fraction form
    2,149.91/2,965.81 = 1,354.22/x
  3. Step 3: Cross multiply
    2,149.91x = 2,965.81 × 1,354.22
  4. Step 4: Simplify right side
    2,149.91x = 4,016,359.22
  5. Step 5: Solve for x
    x = 4,016,359.22/2,149.91
  6. Step 6: Final answer
    x = 1,868.15

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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.