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Finding the Fourth Proportional to 1,805.26, 2,491.23 and 1,019.47

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Solution

The fourth proportional to 1,805.26, 2,491.23 and 1,019.47 is: 1,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.26 : 2,491.23 = 1,019.47 : x
  2. Step 2: Convert to fraction form
    1,805.26/2,491.23 = 1,019.47/x
  3. Step 3: Cross multiply
    1,805.26x = 2,491.23 × 1,019.47
  4. Step 4: Simplify right side
    1,805.26x = 2,539,734.25
  5. Step 5: Solve for x
    x = 2,539,734.25/1,805.26
  6. Step 6: Final answer
    x = 1,406.85

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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.