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Finding the Fourth Proportional to 3,016.50, 4,519.13 and 1,780.25

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Solution

The fourth proportional to 3,016.50, 4,519.13 and 1,780.25 is: 2,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.50 : 4,519.13 = 1,780.25 : x
  2. Step 2: Convert to fraction form
    3,016.50/4,519.13 = 1,780.25/x
  3. Step 3: Cross multiply
    3,016.50x = 4,519.13 × 1,780.25
  4. Step 4: Simplify right side
    3,016.50x = 8,045,149.69
  5. Step 5: Solve for x
    x = 8,045,149.69/3,016.50
  6. Step 6: Final answer
    x = 2,667.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.