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Finding the Fourth Proportional to 2,122.42, 3,169.33 and 1,733.18

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Solution

The fourth proportional to 2,122.42, 3,169.33 and 1,733.18 is: 2,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.42 : 3,169.33 = 1,733.18 : x
  2. Step 2: Convert to fraction form
    2,122.42/3,169.33 = 1,733.18/x
  3. Step 3: Cross multiply
    2,122.42x = 3,169.33 × 1,733.18
  4. Step 4: Simplify right side
    2,122.42x = 5,493,022.96
  5. Step 5: Solve for x
    x = 5,493,022.96/2,122.42
  6. Step 6: Final answer
    x = 2,588.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.