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Finding the Fourth Proportional to 2,826, 4,239.24 and 1,592.72

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Solution

The fourth proportional to 2,826, 4,239.24 and 1,592.72 is: 2,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826 : 4,239.24 = 1,592.72 : x
  2. Step 2: Convert to fraction form
    2,826/4,239.24 = 1,592.72/x
  3. Step 3: Cross multiply
    2,826x = 4,239.24 × 1,592.72
  4. Step 4: Simplify right side
    2,826x = 6,751,922.33
  5. Step 5: Solve for x
    x = 6,751,922.33/2,826
  6. Step 6: Final answer
    x = 2,389.22

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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.