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Finding the Fourth Proportional to 2,254.59, 3,380.43 and 939.25

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Solution

The fourth proportional to 2,254.59, 3,380.43 and 939.25 is: 1,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.59 : 3,380.43 = 939.25 : x
  2. Step 2: Convert to fraction form
    2,254.59/3,380.43 = 939.25/x
  3. Step 3: Cross multiply
    2,254.59x = 3,380.43 × 939.25
  4. Step 4: Simplify right side
    2,254.59x = 3,175,068.88
  5. Step 5: Solve for x
    x = 3,175,068.88/2,254.59
  6. Step 6: Final answer
    x = 1,408.27

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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.