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Finding the Fourth Proportional to 2,667.30, 4,000.92 and 1,205.46

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Solution

The fourth proportional to 2,667.30, 4,000.92 and 1,205.46 is: 1,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.30 : 4,000.92 = 1,205.46 : x
  2. Step 2: Convert to fraction form
    2,667.30/4,000.92 = 1,205.46/x
  3. Step 3: Cross multiply
    2,667.30x = 4,000.92 × 1,205.46
  4. Step 4: Simplify right side
    2,667.30x = 4,822,949.02
  5. Step 5: Solve for x
    x = 4,822,949.02/2,667.30
  6. Step 6: Final answer
    x = 1,808.18

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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.