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Finding the Fourth Proportional to 2,311.76, 3,190.24 and 1,263.84

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Solution

The fourth proportional to 2,311.76, 3,190.24 and 1,263.84 is: 1,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.76 : 3,190.24 = 1,263.84 : x
  2. Step 2: Convert to fraction form
    2,311.76/3,190.24 = 1,263.84/x
  3. Step 3: Cross multiply
    2,311.76x = 3,190.24 × 1,263.84
  4. Step 4: Simplify right side
    2,311.76x = 4,031,952.92
  5. Step 5: Solve for x
    x = 4,031,952.92/2,311.76
  6. Step 6: Final answer
    x = 1,744.11

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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.