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Finding the Fourth Proportional to 2,667.84, 4,003.53 and 936.46

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Solution

The fourth proportional to 2,667.84, 4,003.53 and 936.46 is: 1,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.84 : 4,003.53 = 936.46 : x
  2. Step 2: Convert to fraction form
    2,667.84/4,003.53 = 936.46/x
  3. Step 3: Cross multiply
    2,667.84x = 4,003.53 × 936.46
  4. Step 4: Simplify right side
    2,667.84x = 3,749,145.70
  5. Step 5: Solve for x
    x = 3,749,145.70/2,667.84
  6. Step 6: Final answer
    x = 1,405.31

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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.