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Finding the Fourth Proportional to 1,805.28, 2,491.20 and 1,019.44

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Solution

The fourth proportional to 1,805.28, 2,491.20 and 1,019.44 is: 1,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.28 : 2,491.20 = 1,019.44 : x
  2. Step 2: Convert to fraction form
    1,805.28/2,491.20 = 1,019.44/x
  3. Step 3: Cross multiply
    1,805.28x = 2,491.20 × 1,019.44
  4. Step 4: Simplify right side
    1,805.28x = 2,539,628.93
  5. Step 5: Solve for x
    x = 2,539,628.93/1,805.28
  6. Step 6: Final answer
    x = 1,406.78

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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.