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Finding the Fourth Proportional to 3,282.75, 4,529.03 and 2,164.82

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Solution

The fourth proportional to 3,282.75, 4,529.03 and 2,164.82 is: 2,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.75 : 4,529.03 = 2,164.82 : x
  2. Step 2: Convert to fraction form
    3,282.75/4,529.03 = 2,164.82/x
  3. Step 3: Cross multiply
    3,282.75x = 4,529.03 × 2,164.82
  4. Step 4: Simplify right side
    3,282.75x = 9,804,501.26
  5. Step 5: Solve for x
    x = 9,804,501.26/3,282.75
  6. Step 6: Final answer
    x = 2,986.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.