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Finding the Fourth Proportional to 2,993.61, 4,118.61 and 2,911.60

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Solution

The fourth proportional to 2,993.61, 4,118.61 and 2,911.60 is: 4,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.61 : 4,118.61 = 2,911.60 : x
  2. Step 2: Convert to fraction form
    2,993.61/4,118.61 = 2,911.60/x
  3. Step 3: Cross multiply
    2,993.61x = 4,118.61 × 2,911.60
  4. Step 4: Simplify right side
    2,993.61x = 11,991,744.88
  5. Step 5: Solve for x
    x = 11,991,744.88/2,993.61
  6. Step 6: Final answer
    x = 4,005.78

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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.