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Finding the Fourth Proportional to 1,612.43, 2,415.03 and 1,401.49

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Solution

The fourth proportional to 1,612.43, 2,415.03 and 1,401.49 is: 2,099.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.43 : 2,415.03 = 1,401.49 : x
  2. Step 2: Convert to fraction form
    1,612.43/2,415.03 = 1,401.49/x
  3. Step 3: Cross multiply
    1,612.43x = 2,415.03 × 1,401.49
  4. Step 4: Simplify right side
    1,612.43x = 3,384,640.39
  5. Step 5: Solve for x
    x = 3,384,640.39/1,612.43
  6. Step 6: Final answer
    x = 2,099.09

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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.