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Finding the Fourth Proportional to 3,144.86, 4,340.96 and 2,263.24

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Solution

The fourth proportional to 3,144.86, 4,340.96 and 2,263.24 is: 3,124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.86 : 4,340.96 = 2,263.24 : x
  2. Step 2: Convert to fraction form
    3,144.86/4,340.96 = 2,263.24/x
  3. Step 3: Cross multiply
    3,144.86x = 4,340.96 × 2,263.24
  4. Step 4: Simplify right side
    3,144.86x = 9,824,636.91
  5. Step 5: Solve for x
    x = 9,824,636.91/3,144.86
  6. Step 6: Final answer
    x = 3,124.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.