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Finding the Fourth Proportional to 1,908.69, 2,633.69 and 1,069.43

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Solution

The fourth proportional to 1,908.69, 2,633.69 and 1,069.43 is: 1,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.69 : 2,633.69 = 1,069.43 : x
  2. Step 2: Convert to fraction form
    1,908.69/2,633.69 = 1,069.43/x
  3. Step 3: Cross multiply
    1,908.69x = 2,633.69 × 1,069.43
  4. Step 4: Simplify right side
    1,908.69x = 2,816,547.10
  5. Step 5: Solve for x
    x = 2,816,547.10/1,908.69
  6. Step 6: Final answer
    x = 1,475.64

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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.