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Finding the Fourth Proportional to 2,407.67, 3,609.69 and 1,999.43

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Solution

The fourth proportional to 2,407.67, 3,609.69 and 1,999.43 is: 2,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.67 : 3,609.69 = 1,999.43 : x
  2. Step 2: Convert to fraction form
    2,407.67/3,609.69 = 1,999.43/x
  3. Step 3: Cross multiply
    2,407.67x = 3,609.69 × 1,999.43
  4. Step 4: Simplify right side
    2,407.67x = 7,217,322.48
  5. Step 5: Solve for x
    x = 7,217,322.48/2,407.67
  6. Step 6: Final answer
    x = 2,997.64

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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.