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Finding the Fourth Proportional to 2,683.38, 3,703.17 and 1,504.44

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Solution

The fourth proportional to 2,683.38, 3,703.17 and 1,504.44 is: 2,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.38 : 3,703.17 = 1,504.44 : x
  2. Step 2: Convert to fraction form
    2,683.38/3,703.17 = 1,504.44/x
  3. Step 3: Cross multiply
    2,683.38x = 3,703.17 × 1,504.44
  4. Step 4: Simplify right side
    2,683.38x = 5,571,197.07
  5. Step 5: Solve for x
    x = 5,571,197.07/2,683.38
  6. Step 6: Final answer
    x = 2,076.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.