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Finding the Fourth Proportional to 2,922.72, 4,389.12 and 2,145.12

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Solution

The fourth proportional to 2,922.72, 4,389.12 and 2,145.12 is: 3,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.72 : 4,389.12 = 2,145.12 : x
  2. Step 2: Convert to fraction form
    2,922.72/4,389.12 = 2,145.12/x
  3. Step 3: Cross multiply
    2,922.72x = 4,389.12 × 2,145.12
  4. Step 4: Simplify right side
    2,922.72x = 9,415,189.09
  5. Step 5: Solve for x
    x = 9,415,189.09/2,922.72
  6. Step 6: Final answer
    x = 3,221.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.