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Finding the Fourth Proportional to 2,406.12, 3,609.14 and 762.66

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Solution

The fourth proportional to 2,406.12, 3,609.14 and 762.66 is: 1,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.12 : 3,609.14 = 762.66 : x
  2. Step 2: Convert to fraction form
    2,406.12/3,609.14 = 762.66/x
  3. Step 3: Cross multiply
    2,406.12x = 3,609.14 × 762.66
  4. Step 4: Simplify right side
    2,406.12x = 2,752,546.71
  5. Step 5: Solve for x
    x = 2,752,546.71/2,406.12
  6. Step 6: Final answer
    x = 1,143.98

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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.