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Finding the Fourth Proportional to 3,009.85, 4,154.16 and 2,016.86

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Solution

The fourth proportional to 3,009.85, 4,154.16 and 2,016.86 is: 2,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.85 : 4,154.16 = 2,016.86 : x
  2. Step 2: Convert to fraction form
    3,009.85/4,154.16 = 2,016.86/x
  3. Step 3: Cross multiply
    3,009.85x = 4,154.16 × 2,016.86
  4. Step 4: Simplify right side
    3,009.85x = 8,378,338.37
  5. Step 5: Solve for x
    x = 8,378,338.37/3,009.85
  6. Step 6: Final answer
    x = 2,783.64

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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.