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Finding the Fourth Proportional to 2,662.27, 3,647.33 and 2,562.53

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Solution

The fourth proportional to 2,662.27, 3,647.33 and 2,562.53 is: 3,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.27 : 3,647.33 = 2,562.53 : x
  2. Step 2: Convert to fraction form
    2,662.27/3,647.33 = 2,562.53/x
  3. Step 3: Cross multiply
    2,662.27x = 3,647.33 × 2,562.53
  4. Step 4: Simplify right side
    2,662.27x = 9,346,371.11
  5. Step 5: Solve for x
    x = 9,346,371.11/2,662.27
  6. Step 6: Final answer
    x = 3,510.68

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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.