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Finding the Fourth Proportional to 3,244.28, 4,865.13 and 1,164.33

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Solution

The fourth proportional to 3,244.28, 4,865.13 and 1,164.33 is: 1,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.28 : 4,865.13 = 1,164.33 : x
  2. Step 2: Convert to fraction form
    3,244.28/4,865.13 = 1,164.33/x
  3. Step 3: Cross multiply
    3,244.28x = 4,865.13 × 1,164.33
  4. Step 4: Simplify right side
    3,244.28x = 5,664,616.81
  5. Step 5: Solve for x
    x = 5,664,616.81/3,244.28
  6. Step 6: Final answer
    x = 1,746.03

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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.