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Finding the Fourth Proportional to 2,406.17, 3,608.94 and 762.73

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Solution

The fourth proportional to 2,406.17, 3,608.94 and 762.73 is: 1,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.17 : 3,608.94 = 762.73 : x
  2. Step 2: Convert to fraction form
    2,406.17/3,608.94 = 762.73/x
  3. Step 3: Cross multiply
    2,406.17x = 3,608.94 × 762.73
  4. Step 4: Simplify right side
    2,406.17x = 2,752,646.81
  5. Step 5: Solve for x
    x = 2,752,646.81/2,406.17
  6. Step 6: Final answer
    x = 1,144.00

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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.