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Finding the Fourth Proportional to 2,667.21, 4,000.77 and 1,205.34

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Solution

The fourth proportional to 2,667.21, 4,000.77 and 1,205.34 is: 1,807.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.21 : 4,000.77 = 1,205.34 : x
  2. Step 2: Convert to fraction form
    2,667.21/4,000.77 = 1,205.34/x
  3. Step 3: Cross multiply
    2,667.21x = 4,000.77 × 1,205.34
  4. Step 4: Simplify right side
    2,667.21x = 4,822,288.11
  5. Step 5: Solve for x
    x = 4,822,288.11/2,667.21
  6. Step 6: Final answer
    x = 1,807.99

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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.