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Finding the Fourth Proportional to 2,174.12, 3,256.32 and 1,199.60

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Solution

The fourth proportional to 2,174.12, 3,256.32 and 1,199.60 is: 1,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.12 : 3,256.32 = 1,199.60 : x
  2. Step 2: Convert to fraction form
    2,174.12/3,256.32 = 1,199.60/x
  3. Step 3: Cross multiply
    2,174.12x = 3,256.32 × 1,199.60
  4. Step 4: Simplify right side
    2,174.12x = 3,906,281.47
  5. Step 5: Solve for x
    x = 3,906,281.47/2,174.12
  6. Step 6: Final answer
    x = 1,796.72

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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.