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Finding the Fourth Proportional to 2,543.12, 3,829.92 and 2,238.30

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Solution

The fourth proportional to 2,543.12, 3,829.92 and 2,238.30 is: 3,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.12 : 3,829.92 = 2,238.30 : x
  2. Step 2: Convert to fraction form
    2,543.12/3,829.92 = 2,238.30/x
  3. Step 3: Cross multiply
    2,543.12x = 3,829.92 × 2,238.30
  4. Step 4: Simplify right side
    2,543.12x = 8,572,509.94
  5. Step 5: Solve for x
    x = 8,572,509.94/2,543.12
  6. Step 6: Final answer
    x = 3,370.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.