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Finding the Fourth Proportional to 2,174.29, 3,000.46 and 1,204.11

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Solution

The fourth proportional to 2,174.29, 3,000.46 and 1,204.11 is: 1,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.29 : 3,000.46 = 1,204.11 : x
  2. Step 2: Convert to fraction form
    2,174.29/3,000.46 = 1,204.11/x
  3. Step 3: Cross multiply
    2,174.29x = 3,000.46 × 1,204.11
  4. Step 4: Simplify right side
    2,174.29x = 3,612,883.89
  5. Step 5: Solve for x
    x = 3,612,883.89/2,174.29
  6. Step 6: Final answer
    x = 1,661.64

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