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Finding the Fourth Proportional to 2,399.46, 3,597.94 and 1,099.81

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Solution

The fourth proportional to 2,399.46, 3,597.94 and 1,099.81 is: 1,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.46 : 3,597.94 = 1,099.81 : x
  2. Step 2: Convert to fraction form
    2,399.46/3,597.94 = 1,099.81/x
  3. Step 3: Cross multiply
    2,399.46x = 3,597.94 × 1,099.81
  4. Step 4: Simplify right side
    2,399.46x = 3,957,050.39
  5. Step 5: Solve for x
    x = 3,957,050.39/2,399.46
  6. Step 6: Final answer
    x = 1,649.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.