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Finding the Fourth Proportional to 2,667.53, 4,001.32 and 1,748.90

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Solution

The fourth proportional to 2,667.53, 4,001.32 and 1,748.90 is: 2,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.53 : 4,001.32 = 1,748.90 : x
  2. Step 2: Convert to fraction form
    2,667.53/4,001.32 = 1,748.90/x
  3. Step 3: Cross multiply
    2,667.53x = 4,001.32 × 1,748.90
  4. Step 4: Simplify right side
    2,667.53x = 6,997,914.18
  5. Step 5: Solve for x
    x = 6,997,914.18/2,667.53
  6. Step 6: Final answer
    x = 2,623.37

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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.