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Finding the Fourth Proportional to 2,527.76, 3,793.36 and 1,550.88

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Solution

The fourth proportional to 2,527.76, 3,793.36 and 1,550.88 is: 2,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.76 : 3,793.36 = 1,550.88 : x
  2. Step 2: Convert to fraction form
    2,527.76/3,793.36 = 1,550.88/x
  3. Step 3: Cross multiply
    2,527.76x = 3,793.36 × 1,550.88
  4. Step 4: Simplify right side
    2,527.76x = 5,883,046.16
  5. Step 5: Solve for x
    x = 5,883,046.16/2,527.76
  6. Step 6: Final answer
    x = 2,327.38

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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.