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Finding the Fourth Proportional to 3,196.22, 4,797.19 and 1,637.29

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Solution

The fourth proportional to 3,196.22, 4,797.19 and 1,637.29 is: 2,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.22 : 4,797.19 = 1,637.29 : x
  2. Step 2: Convert to fraction form
    3,196.22/4,797.19 = 1,637.29/x
  3. Step 3: Cross multiply
    3,196.22x = 4,797.19 × 1,637.29
  4. Step 4: Simplify right side
    3,196.22x = 7,854,375.13
  5. Step 5: Solve for x
    x = 7,854,375.13/3,196.22
  6. Step 6: Final answer
    x = 2,457.40

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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.