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Finding the Fourth Proportional to 2,400.38, 3,602.80 and 1,231.22

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Solution

The fourth proportional to 2,400.38, 3,602.80 and 1,231.22 is: 1,847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.38 : 3,602.80 = 1,231.22 : x
  2. Step 2: Convert to fraction form
    2,400.38/3,602.80 = 1,231.22/x
  3. Step 3: Cross multiply
    2,400.38x = 3,602.80 × 1,231.22
  4. Step 4: Simplify right side
    2,400.38x = 4,435,822.77
  5. Step 5: Solve for x
    x = 4,435,822.77/2,400.38
  6. Step 6: Final answer
    x = 1,847.96

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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.