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Finding the Fourth Proportional to 2,387.79, 3,580.83 and 827.37

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Solution

The fourth proportional to 2,387.79, 3,580.83 and 827.37 is: 1,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.79 : 3,580.83 = 827.37 : x
  2. Step 2: Convert to fraction form
    2,387.79/3,580.83 = 827.37/x
  3. Step 3: Cross multiply
    2,387.79x = 3,580.83 × 827.37
  4. Step 4: Simplify right side
    2,387.79x = 2,962,678.20
  5. Step 5: Solve for x
    x = 2,962,678.20/2,387.79
  6. Step 6: Final answer
    x = 1,240.76

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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.