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Finding the Fourth Proportional to 2,387.46, 3,579.98 and 827.30

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Solution

The fourth proportional to 2,387.46, 3,579.98 and 827.30 is: 1,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.46 : 3,579.98 = 827.30 : x
  2. Step 2: Convert to fraction form
    2,387.46/3,579.98 = 827.30/x
  3. Step 3: Cross multiply
    2,387.46x = 3,579.98 × 827.30
  4. Step 4: Simplify right side
    2,387.46x = 2,961,717.45
  5. Step 5: Solve for x
    x = 2,961,717.45/2,387.46
  6. Step 6: Final answer
    x = 1,240.53

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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.