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Finding the Fourth Proportional to 3,186.01, 4,780.95 and 2,014.40

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Solution

The fourth proportional to 3,186.01, 4,780.95 and 2,014.40 is: 3,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.01 : 4,780.95 = 2,014.40 : x
  2. Step 2: Convert to fraction form
    3,186.01/4,780.95 = 2,014.40/x
  3. Step 3: Cross multiply
    3,186.01x = 4,780.95 × 2,014.40
  4. Step 4: Simplify right side
    3,186.01x = 9,630,745.68
  5. Step 5: Solve for x
    x = 9,630,745.68/3,186.01
  6. Step 6: Final answer
    x = 3,022.82

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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.