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Finding the Fourth Proportional to 2,149.28, 2,965.92 and 1,205.10

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Solution

The fourth proportional to 2,149.28, 2,965.92 and 1,205.10 is: 1,662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.28 : 2,965.92 = 1,205.10 : x
  2. Step 2: Convert to fraction form
    2,149.28/2,965.92 = 1,205.10/x
  3. Step 3: Cross multiply
    2,149.28x = 2,965.92 × 1,205.10
  4. Step 4: Simplify right side
    2,149.28x = 3,574,230.19
  5. Step 5: Solve for x
    x = 3,574,230.19/2,149.28
  6. Step 6: Final answer
    x = 1,662.99

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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.