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Finding the Fourth Proportional to 1,908.63, 2,633.31 and 1,069.20

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Solution

The fourth proportional to 1,908.63, 2,633.31 and 1,069.20 is: 1,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.63 : 2,633.31 = 1,069.20 : x
  2. Step 2: Convert to fraction form
    1,908.63/2,633.31 = 1,069.20/x
  3. Step 3: Cross multiply
    1,908.63x = 2,633.31 × 1,069.20
  4. Step 4: Simplify right side
    1,908.63x = 2,815,535.05
  5. Step 5: Solve for x
    x = 2,815,535.05/1,908.63
  6. Step 6: Final answer
    x = 1,475.16

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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.