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Finding the Fourth Proportional to 2,167.42, 2,991.02 and 1,172.68

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Solution

The fourth proportional to 2,167.42, 2,991.02 and 1,172.68 is: 1,618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.42 : 2,991.02 = 1,172.68 : x
  2. Step 2: Convert to fraction form
    2,167.42/2,991.02 = 1,172.68/x
  3. Step 3: Cross multiply
    2,167.42x = 2,991.02 × 1,172.68
  4. Step 4: Simplify right side
    2,167.42x = 3,507,516.33
  5. Step 5: Solve for x
    x = 3,507,516.33/2,167.42
  6. Step 6: Final answer
    x = 1,618.29

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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.