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Finding the Fourth Proportional to 1,683.05, 2,519.17 and 901.09

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Solution

The fourth proportional to 1,683.05, 2,519.17 and 901.09 is: 1,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.05 : 2,519.17 = 901.09 : x
  2. Step 2: Convert to fraction form
    1,683.05/2,519.17 = 901.09/x
  3. Step 3: Cross multiply
    1,683.05x = 2,519.17 × 901.09
  4. Step 4: Simplify right side
    1,683.05x = 2,269,998.90
  5. Step 5: Solve for x
    x = 2,269,998.90/1,683.05
  6. Step 6: Final answer
    x = 1,348.74

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Why These Related Problems?

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