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Finding the Fourth Proportional to 2,254.69, 3,381.82 and 1,599.37

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Solution

The fourth proportional to 2,254.69, 3,381.82 and 1,599.37 is: 2,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.69 : 3,381.82 = 1,599.37 : x
  2. Step 2: Convert to fraction form
    2,254.69/3,381.82 = 1,599.37/x
  3. Step 3: Cross multiply
    2,254.69x = 3,381.82 × 1,599.37
  4. Step 4: Simplify right side
    2,254.69x = 5,408,781.45
  5. Step 5: Solve for x
    x = 5,408,781.45/2,254.69
  6. Step 6: Final answer
    x = 2,398.90

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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.