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Finding the Fourth Proportional to 2,673.89, 4,011.25 and 825.32

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Solution

The fourth proportional to 2,673.89, 4,011.25 and 825.32 is: 1,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.89 : 4,011.25 = 825.32 : x
  2. Step 2: Convert to fraction form
    2,673.89/4,011.25 = 825.32/x
  3. Step 3: Cross multiply
    2,673.89x = 4,011.25 × 825.32
  4. Step 4: Simplify right side
    2,673.89x = 3,310,572.81
  5. Step 5: Solve for x
    x = 3,310,572.81/2,673.89
  6. Step 6: Final answer
    x = 1,238.11

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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.