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Finding the Fourth Proportional to 3,244.87, 4,866.76 and 1,164.49

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Solution

The fourth proportional to 3,244.87, 4,866.76 and 1,164.49 is: 1,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.87 : 4,866.76 = 1,164.49 : x
  2. Step 2: Convert to fraction form
    3,244.87/4,866.76 = 1,164.49/x
  3. Step 3: Cross multiply
    3,244.87x = 4,866.76 × 1,164.49
  4. Step 4: Simplify right side
    3,244.87x = 5,667,278.27
  5. Step 5: Solve for x
    x = 5,667,278.27/3,244.87
  6. Step 6: Final answer
    x = 1,746.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.