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Finding the Fourth Proportional to 2,433.68, 3,647.94 and 1,262.42

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Solution

The fourth proportional to 2,433.68, 3,647.94 and 1,262.42 is: 1,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.68 : 3,647.94 = 1,262.42 : x
  2. Step 2: Convert to fraction form
    2,433.68/3,647.94 = 1,262.42/x
  3. Step 3: Cross multiply
    2,433.68x = 3,647.94 × 1,262.42
  4. Step 4: Simplify right side
    2,433.68x = 4,605,232.41
  5. Step 5: Solve for x
    x = 4,605,232.41/2,433.68
  6. Step 6: Final answer
    x = 1,892.29

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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.