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Finding the Fourth Proportional to 2,667.84, 4,008 and 2,350.08

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Solution

The fourth proportional to 2,667.84, 4,008 and 2,350.08 is: 3,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.84 : 4,008 = 2,350.08 : x
  2. Step 2: Convert to fraction form
    2,667.84/4,008 = 2,350.08/x
  3. Step 3: Cross multiply
    2,667.84x = 4,008 × 2,350.08
  4. Step 4: Simplify right side
    2,667.84x = 9,419,120.64
  5. Step 5: Solve for x
    x = 9,419,120.64/2,667.84
  6. Step 6: Final answer
    x = 3,530.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.