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Finding the Fourth Proportional to 2,663.27, 3,648.70 and 2,563.53

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Solution

The fourth proportional to 2,663.27, 3,648.70 and 2,563.53 is: 3,512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.27 : 3,648.70 = 2,563.53 : x
  2. Step 2: Convert to fraction form
    2,663.27/3,648.70 = 2,563.53/x
  3. Step 3: Cross multiply
    2,663.27x = 3,648.70 × 2,563.53
  4. Step 4: Simplify right side
    2,663.27x = 9,353,551.91
  5. Step 5: Solve for x
    x = 9,353,551.91/2,663.27
  6. Step 6: Final answer
    x = 3,512.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.