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Finding the Fourth Proportional to 2,438.03, 3,362.22 and 1,829.94

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Solution

The fourth proportional to 2,438.03, 3,362.22 and 1,829.94 is: 2,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.03 : 3,362.22 = 1,829.94 : x
  2. Step 2: Convert to fraction form
    2,438.03/3,362.22 = 1,829.94/x
  3. Step 3: Cross multiply
    2,438.03x = 3,362.22 × 1,829.94
  4. Step 4: Simplify right side
    2,438.03x = 6,152,660.87
  5. Step 5: Solve for x
    x = 6,152,660.87/2,438.03
  6. Step 6: Final answer
    x = 2,523.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.