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Finding the Fourth Proportional to 2,174.47, 3,262.61 and 1,394.89

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Solution

The fourth proportional to 2,174.47, 3,262.61 and 1,394.89 is: 2,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.47 : 3,262.61 = 1,394.89 : x
  2. Step 2: Convert to fraction form
    2,174.47/3,262.61 = 1,394.89/x
  3. Step 3: Cross multiply
    2,174.47x = 3,262.61 × 1,394.89
  4. Step 4: Simplify right side
    2,174.47x = 4,550,982.06
  5. Step 5: Solve for x
    x = 4,550,982.06/2,174.47
  6. Step 6: Final answer
    x = 2,092.92

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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.