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Finding the Fourth Proportional to 2,683.68, 3,704.22 and 1,752

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Solution

The fourth proportional to 2,683.68, 3,704.22 and 1,752 is: 2,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.68 : 3,704.22 = 1,752 : x
  2. Step 2: Convert to fraction form
    2,683.68/3,704.22 = 1,752/x
  3. Step 3: Cross multiply
    2,683.68x = 3,704.22 × 1,752
  4. Step 4: Simplify right side
    2,683.68x = 6,489,793.44
  5. Step 5: Solve for x
    x = 6,489,793.44/2,683.68
  6. Step 6: Final answer
    x = 2,418.24

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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.