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Finding the Fourth Proportional to 2,120.80, 3,182.08 and 1,299.08

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Solution

The fourth proportional to 2,120.80, 3,182.08 and 1,299.08 is: 1,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.80 : 3,182.08 = 1,299.08 : x
  2. Step 2: Convert to fraction form
    2,120.80/3,182.08 = 1,299.08/x
  3. Step 3: Cross multiply
    2,120.80x = 3,182.08 × 1,299.08
  4. Step 4: Simplify right side
    2,120.80x = 4,133,776.49
  5. Step 5: Solve for x
    x = 4,133,776.49/2,120.80
  6. Step 6: Final answer
    x = 1,949.16

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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.