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Finding the Fourth Proportional to 2,991.96, 4,489.56 and 2,002.34

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Solution

The fourth proportional to 2,991.96, 4,489.56 and 2,002.34 is: 3,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.96 : 4,489.56 = 2,002.34 : x
  2. Step 2: Convert to fraction form
    2,991.96/4,489.56 = 2,002.34/x
  3. Step 3: Cross multiply
    2,991.96x = 4,489.56 × 2,002.34
  4. Step 4: Simplify right side
    2,991.96x = 8,989,636.79
  5. Step 5: Solve for x
    x = 8,989,636.79/2,991.96
  6. Step 6: Final answer
    x = 3,004.60

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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.