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Finding the Fourth Proportional to 2,484.03, 3,723.68 and 922.97

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Solution

The fourth proportional to 2,484.03, 3,723.68 and 922.97 is: 1,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.03 : 3,723.68 = 922.97 : x
  2. Step 2: Convert to fraction form
    2,484.03/3,723.68 = 922.97/x
  3. Step 3: Cross multiply
    2,484.03x = 3,723.68 × 922.97
  4. Step 4: Simplify right side
    2,484.03x = 3,436,821.70
  5. Step 5: Solve for x
    x = 3,436,821.70/2,484.03
  6. Step 6: Final answer
    x = 1,383.57

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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.