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Finding the Fourth Proportional to 2,406.33, 3,609.97 and 1,019.66

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Solution

The fourth proportional to 2,406.33, 3,609.97 and 1,019.66 is: 1,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.33 : 3,609.97 = 1,019.66 : x
  2. Step 2: Convert to fraction form
    2,406.33/3,609.97 = 1,019.66/x
  3. Step 3: Cross multiply
    2,406.33x = 3,609.97 × 1,019.66
  4. Step 4: Simplify right side
    2,406.33x = 3,680,921.41
  5. Step 5: Solve for x
    x = 3,680,921.41/2,406.33
  6. Step 6: Final answer
    x = 1,529.68

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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.