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Finding the Fourth Proportional to 2,667.52, 4,001.25 and 1,205.65

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Solution

The fourth proportional to 2,667.52, 4,001.25 and 1,205.65 is: 1,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.52 : 4,001.25 = 1,205.65 : x
  2. Step 2: Convert to fraction form
    2,667.52/4,001.25 = 1,205.65/x
  3. Step 3: Cross multiply
    2,667.52x = 4,001.25 × 1,205.65
  4. Step 4: Simplify right side
    2,667.52x = 4,824,107.06
  5. Step 5: Solve for x
    x = 4,824,107.06/2,667.52
  6. Step 6: Final answer
    x = 1,808.46

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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.