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Finding the Fourth Proportional to 2,407.41, 3,609.84 and 1,107.75

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Solution

The fourth proportional to 2,407.41, 3,609.84 and 1,107.75 is: 1,661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.41 : 3,609.84 = 1,107.75 : x
  2. Step 2: Convert to fraction form
    2,407.41/3,609.84 = 1,107.75/x
  3. Step 3: Cross multiply
    2,407.41x = 3,609.84 × 1,107.75
  4. Step 4: Simplify right side
    2,407.41x = 3,998,800.26
  5. Step 5: Solve for x
    x = 3,998,800.26/2,407.41
  6. Step 6: Final answer
    x = 1,661.04

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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.