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Finding the Fourth Proportional to 2,548.96, 3,824.72 and 990.04

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Solution

The fourth proportional to 2,548.96, 3,824.72 and 990.04 is: 1,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.96 : 3,824.72 = 990.04 : x
  2. Step 2: Convert to fraction form
    2,548.96/3,824.72 = 990.04/x
  3. Step 3: Cross multiply
    2,548.96x = 3,824.72 × 990.04
  4. Step 4: Simplify right side
    2,548.96x = 3,786,625.79
  5. Step 5: Solve for x
    x = 3,786,625.79/2,548.96
  6. Step 6: Final answer
    x = 1,485.56

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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.