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Finding the Fourth Proportional to 2,406.13, 3,609.15 and 762.68

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Solution

The fourth proportional to 2,406.13, 3,609.15 and 762.68 is: 1,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.13 : 3,609.15 = 762.68 : x
  2. Step 2: Convert to fraction form
    2,406.13/3,609.15 = 762.68/x
  3. Step 3: Cross multiply
    2,406.13x = 3,609.15 × 762.68
  4. Step 4: Simplify right side
    2,406.13x = 2,752,608.48
  5. Step 5: Solve for x
    x = 2,752,608.48/2,406.13
  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.