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Finding the Fourth Proportional to 3,237.42, 4,467.38 and 1,978.04

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Solution

The fourth proportional to 3,237.42, 4,467.38 and 1,978.04 is: 2,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.42 : 4,467.38 = 1,978.04 : x
  2. Step 2: Convert to fraction form
    3,237.42/4,467.38 = 1,978.04/x
  3. Step 3: Cross multiply
    3,237.42x = 4,467.38 × 1,978.04
  4. Step 4: Simplify right side
    3,237.42x = 8,836,656.34
  5. Step 5: Solve for x
    x = 8,836,656.34/3,237.42
  6. Step 6: Final answer
    x = 2,729.54

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Why These Related Problems?

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