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Finding the Fourth Proportional to 1,578.88, 2,378.25 and 1,481.68

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Solution

The fourth proportional to 1,578.88, 2,378.25 and 1,481.68 is: 2,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.88 : 2,378.25 = 1,481.68 : x
  2. Step 2: Convert to fraction form
    1,578.88/2,378.25 = 1,481.68/x
  3. Step 3: Cross multiply
    1,578.88x = 2,378.25 × 1,481.68
  4. Step 4: Simplify right side
    1,578.88x = 3,523,805.46
  5. Step 5: Solve for x
    x = 3,523,805.46/1,578.88
  6. Step 6: Final answer
    x = 2,231.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.