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Finding the Fourth Proportional to 2,667.50, 3,999.54 and 1,108.58

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Solution

The fourth proportional to 2,667.50, 3,999.54 and 1,108.58 is: 1,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.50 : 3,999.54 = 1,108.58 : x
  2. Step 2: Convert to fraction form
    2,667.50/3,999.54 = 1,108.58/x
  3. Step 3: Cross multiply
    2,667.50x = 3,999.54 × 1,108.58
  4. Step 4: Simplify right side
    2,667.50x = 4,433,810.05
  5. Step 5: Solve for x
    x = 4,433,810.05/2,667.50
  6. Step 6: Final answer
    x = 1,662.16

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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.