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Finding the Fourth Proportional to 1,891.28, 2,609.76 and 1,105.28

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Solution

The fourth proportional to 1,891.28, 2,609.76 and 1,105.28 is: 1,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.28 : 2,609.76 = 1,105.28 : x
  2. Step 2: Convert to fraction form
    1,891.28/2,609.76 = 1,105.28/x
  3. Step 3: Cross multiply
    1,891.28x = 2,609.76 × 1,105.28
  4. Step 4: Simplify right side
    1,891.28x = 2,884,515.53
  5. Step 5: Solve for x
    x = 2,884,515.53/1,891.28
  6. Step 6: Final answer
    x = 1,525.17

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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.