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Finding the Fourth Proportional to 2,470.76, 3,705.79 and 827.27

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Solution

The fourth proportional to 2,470.76, 3,705.79 and 827.27 is: 1,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.76 : 3,705.79 = 827.27 : x
  2. Step 2: Convert to fraction form
    2,470.76/3,705.79 = 827.27/x
  3. Step 3: Cross multiply
    2,470.76x = 3,705.79 × 827.27
  4. Step 4: Simplify right side
    2,470.76x = 3,065,688.89
  5. Step 5: Solve for x
    x = 3,065,688.89/2,470.76
  6. Step 6: Final answer
    x = 1,240.79

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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.