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Finding the Fourth Proportional to 2,484.33, 3,724.34 and 946.41

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Solution

The fourth proportional to 2,484.33, 3,724.34 and 946.41 is: 1,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.33 : 3,724.34 = 946.41 : x
  2. Step 2: Convert to fraction form
    2,484.33/3,724.34 = 946.41/x
  3. Step 3: Cross multiply
    2,484.33x = 3,724.34 × 946.41
  4. Step 4: Simplify right side
    2,484.33x = 3,524,747.89
  5. Step 5: Solve for x
    x = 3,524,747.89/2,484.33
  6. Step 6: Final answer
    x = 1,418.79

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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.