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Finding the Fourth Proportional to 2,278.90, 3,416.99 and 1,028.98

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Solution

The fourth proportional to 2,278.90, 3,416.99 and 1,028.98 is: 1,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.90 : 3,416.99 = 1,028.98 : x
  2. Step 2: Convert to fraction form
    2,278.90/3,416.99 = 1,028.98/x
  3. Step 3: Cross multiply
    2,278.90x = 3,416.99 × 1,028.98
  4. Step 4: Simplify right side
    2,278.90x = 3,515,997.29
  5. Step 5: Solve for x
    x = 3,515,997.29/2,278.90
  6. Step 6: Final answer
    x = 1,542.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.