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Finding the Fourth Proportional to 3,242.70, 4,864.73 and 1,394.28

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Solution

The fourth proportional to 3,242.70, 4,864.73 and 1,394.28 is: 2,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.70 : 4,864.73 = 1,394.28 : x
  2. Step 2: Convert to fraction form
    3,242.70/4,864.73 = 1,394.28/x
  3. Step 3: Cross multiply
    3,242.70x = 4,864.73 × 1,394.28
  4. Step 4: Simplify right side
    3,242.70x = 6,782,788.77
  5. Step 5: Solve for x
    x = 6,782,788.77/3,242.70
  6. Step 6: Final answer
    x = 2,091.71

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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.