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Finding the Fourth Proportional to 2,938.72, 4,408.06 and 990.46

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Solution

The fourth proportional to 2,938.72, 4,408.06 and 990.46 is: 1,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.72 : 4,408.06 = 990.46 : x
  2. Step 2: Convert to fraction form
    2,938.72/4,408.06 = 990.46/x
  3. Step 3: Cross multiply
    2,938.72x = 4,408.06 × 990.46
  4. Step 4: Simplify right side
    2,938.72x = 4,366,007.11
  5. Step 5: Solve for x
    x = 4,366,007.11/2,938.72
  6. Step 6: Final answer
    x = 1,485.68

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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.