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Finding the Fourth Proportional to 2,305.25, 3,180.15 and 1,559.47

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Solution

The fourth proportional to 2,305.25, 3,180.15 and 1,559.47 is: 2,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.25 : 3,180.15 = 1,559.47 : x
  2. Step 2: Convert to fraction form
    2,305.25/3,180.15 = 1,559.47/x
  3. Step 3: Cross multiply
    2,305.25x = 3,180.15 × 1,559.47
  4. Step 4: Simplify right side
    2,305.25x = 4,959,348.52
  5. Step 5: Solve for x
    x = 4,959,348.52/2,305.25
  6. Step 6: Final answer
    x = 2,151.33

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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.