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Finding the Fourth Proportional to 2,174.34, 3,260.76 and 1,447.74

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Solution

The fourth proportional to 2,174.34, 3,260.76 and 1,447.74 is: 2,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.34 : 3,260.76 = 1,447.74 : x
  2. Step 2: Convert to fraction form
    2,174.34/3,260.76 = 1,447.74/x
  3. Step 3: Cross multiply
    2,174.34x = 3,260.76 × 1,447.74
  4. Step 4: Simplify right side
    2,174.34x = 4,720,732.68
  5. Step 5: Solve for x
    x = 4,720,732.68/2,174.34
  6. Step 6: Final answer
    x = 2,171.11

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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.