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Finding the Fourth Proportional to 2,993.72, 4,132.98 and 2,002.28

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Solution

The fourth proportional to 2,993.72, 4,132.98 and 2,002.28 is: 2,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.72 : 4,132.98 = 2,002.28 : x
  2. Step 2: Convert to fraction form
    2,993.72/4,132.98 = 2,002.28/x
  3. Step 3: Cross multiply
    2,993.72x = 4,132.98 × 2,002.28
  4. Step 4: Simplify right side
    2,993.72x = 8,275,383.19
  5. Step 5: Solve for x
    x = 8,275,383.19/2,993.72
  6. Step 6: Final answer
    x = 2,764.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.