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Finding the Fourth Proportional to 2,667.02, 4,000.50 and 1,205.15

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Solution

The fourth proportional to 2,667.02, 4,000.50 and 1,205.15 is: 1,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.02 : 4,000.50 = 1,205.15 : x
  2. Step 2: Convert to fraction form
    2,667.02/4,000.50 = 1,205.15/x
  3. Step 3: Cross multiply
    2,667.02x = 4,000.50 × 1,205.15
  4. Step 4: Simplify right side
    2,667.02x = 4,821,212.58
  5. Step 5: Solve for x
    x = 4,821,212.58/2,667.02
  6. Step 6: Final answer
    x = 1,807.71

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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.