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Finding the Fourth Proportional to 2,332.82, 3,499.20 and 1,099.56

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Solution

The fourth proportional to 2,332.82, 3,499.20 and 1,099.56 is: 1,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.82 : 3,499.20 = 1,099.56 : x
  2. Step 2: Convert to fraction form
    2,332.82/3,499.20 = 1,099.56/x
  3. Step 3: Cross multiply
    2,332.82x = 3,499.20 × 1,099.56
  4. Step 4: Simplify right side
    2,332.82x = 3,847,580.35
  5. Step 5: Solve for x
    x = 3,847,580.35/2,332.82
  6. Step 6: Final answer
    x = 1,649.33

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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.