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Finding the Fourth Proportional to 2,214.89, 3,320.02 and 827.63

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Solution

The fourth proportional to 2,214.89, 3,320.02 and 827.63 is: 1,240.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.89 : 3,320.02 = 827.63 : x
  2. Step 2: Convert to fraction form
    2,214.89/3,320.02 = 827.63/x
  3. Step 3: Cross multiply
    2,214.89x = 3,320.02 × 827.63
  4. Step 4: Simplify right side
    2,214.89x = 2,747,748.15
  5. Step 5: Solve for x
    x = 2,747,748.15/2,214.89
  6. Step 6: Final answer
    x = 1,240.58

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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.